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Algebraic structures and their representations

Grant number: 14/09310-5
Support Opportunities:Research Projects - Thematic Grants
Duration: October 01, 2014 - September 30, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Vyacheslav Futorny
Grantee:Vyacheslav Futorny
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Pesquisadores principais:
Adriano Adrega de Moura ; Alexandre Grichkov ; Eduardo do Nascimento Marcos ; Ivan Chestakov ; Plamen Emilov Kochloukov
Associated researchers:Alexandr Kornev ; Angelo Calil Bianchi ; Dimas José Gonçalves ; Henrique Guzzo Junior ; Iryna Kashuba ; Juan Carlos Gutiérrez Fernández ; Kostiantyn Iusenko ; Lucia Satie Ikemoto Murakami ; Renato Alessandro Martins ; Thiago Castilho de Mello
Associated grant(s):18/19908-6 - Sixth Conference on Geometric Methods in Representation Theory, AR.EXT
18/08104-3 - Tilting theory over weighted projective lines, AV.BR
18/05372-7 - Simple finite-dimensional left-symmetric (super)algebras, AV.EXT
 + associated grants 18/09719-1 - Incoherent minimal affinizations, AV.EXT
18/03717-7 - The problem of speciality of Malcev algebras, AV.EXT
18/08907-9 - Exceptional sequences of coherent sheaves, AV.EXT
18/11292-6 - Moufang Loops and related algebras, AV.EXT
18/06777-0 - Representations of the periplectic Lie superalgebra, AV.EXT
18/07046-0 - S-homogeneous algebras, AV.EXT
18/07038-7 - Han's conjecture, AV.EXT
17/24563-5 - Linear and unitary representations of posets: subspaces, a quadratic form, and induced modules, AV.EXT
17/19777-6 - Anderson t-motives, their L-functions and lattices, AV.BR
17/14492-3 - Code loops and Malcev algebras, AV.EXT
17/14489-2 - Loops de Moufang Loops and related groups, AV.EXT
17/04846-2 - Simple right alternative superalgebras with some conditions on even parts, AV.EXT
16/50475-3 - Representation Theory of Lie algebras of vector fields on smooth algebraic manifolds, AP.R SPRINT
17/02946-0 - Polynomial integro-differential operators and their representations, AV.EXT
16/18068-9 - Combinatorial aspects of Lie Algebras and of noncomutative algebras, AV.BR
16/19459-1 - Algebras whose generating ideals have small Groebner basis, AV.EXT
16/07265-8 - Algebraic structures in integrability theory, AV.EXT
15/25280-1 - Stable tameness of the automorphisms of ane algebras, AV.EXT
15/05859-5 - Lie algebras of vector fields on algebraic varieties, AV.EXT
15/08615-0 - Simple representations of Witt and Kac-Moody algebras, AV.EXT
15/05864-9 - Classification problems in linear algebra and system theory, AV.EXT
15/06469-6 - Representations of W-algebras, AV.EXT
15/07917-2 - Bi-algebras in generalized Lie Theory, AV.EXT
15/07245-4 - Moufang Loops and Malcev algebras, AV.EXT
14/21137-7 - Non-associative Hopf algebras and Sabinin algebras, AV.EXT - associated grants
Associated scholarship(s):18/17464-3 - Polynomial identities and superinvolutions, BP.PD
18/12382-9 - Representations of current Lie algebras, BP.MS
17/25777-9 - Representations of Jordan superalgebras, BE.PQ
 + associated scholarships 18/07593-0 - 3-point Virasoro algebra action on free field realization and gerbes, BE.PQ
18/05183-0 - Introduction to the representation theory of affine Kac-Moody Algebras, BP.IC
18/07628-9 - Affine wreath product algebras, BP.MS
18/05091-8 - A free resolution for certain algebras, BP.MS
18/06471-9 - 2 theorems of Gabriel 2, BP.IC
17/21429-6 - The structure problems of Zinbiel-Lie and Novikov-Jordan algebras, BP.PD
17/11050-0 - Mischenko-Fomenko subalgebras of universal enveloping algebras of simple Lie algebras, BP.MS
16/25984-1 - Gelfand-Tsetlin modules for Lie algebras, BP.PD
16/06133-0 - Non-associative systems and their applications, BE.PQ
16/09496-7 - The Lvov-Kaplansky conjecture, BP.MS
16/09809-5 - Applications of the Groebner Basis Theory to the computation of the Hochschild cohomology, BP.MS
15/05927-0 - Quantum determinants and categorification of quantum groups, BP.PD
15/15901-9 - Derived bracket formalism in algebra and geometry and Gelfand-Tsetlin modules for Lie superalgebras, BP.PD
15/17611-8 - Finite geometries, its automorphisms and related algebraic systems., BP.DR
14/25612-1 - Extensions of Noether's problem and Gelfand-Kirillov's conjecture to certain classes of noncommutative algebras, BP.DR - associated scholarships

Abstract

The project will be devoted to the study of Lie and Jordan algebras and superalgebras and their representations. Besides, alternative and Malcev algebras and superalgebras will be considered, loop de Moufang, Calabi-Yau algebras, Yoneda algebras and various generalizations and quantizations of algebras mentioned above. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (108)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FUTORNY, VYACHESLAV; KASHUBA, IRYNA. Structure of parabolically induced modules for affine Kac-Moody algebras. Journal of Algebra, v. 500, n. SI, p. 362-374, . (14/09310-5, 16/08740-1)
CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. Jacobi-Zariski long nearly exact sequences for associative algebras. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, . (14/09310-5)
BRANDAO, JR., ANTONIO PEREIRA; GONCALVES, DIMAS JOSE; KOSHLUKOV, PLAMEN. Graded A-identities for the matrix algebra of order two. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 26, n. 8, p. 1617-1631, . (14/09310-5)
GRISHKOV, ALEXANDER; ZUSMANOVICH, PASHA. Deformations of current Lie algebras. I. Small algebras in characteristic 2. Journal of Algebra, v. 473, p. 513-544, . (14/09310-5, 13/12050-2)
DA FONSECA, CARLOS M.; FUTORNY, VYACHESLAV; RYBALKINA, TETIANA; SERGEICHUK, VLADIMIR V.. Topological classification of systems of bilinear and sesquilinear forms. Linear Algebra and its Applications, v. 515, p. 1-5, . (14/09310-5, 15/05864-9)
KOSHLUKOV, PLAMEN; LA MATTINA, DANIELA. Graded algebras with polynomial growth of their codimensions. Journal of Algebra, v. 434, p. 115-137, . (14/09310-5, 14/07021-6)
CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. SPLIT BOUNDED EXTENSION ALGEBRAS AND HAN'S CONJECTURE. PACIFIC JOURNAL OF MATHEMATICS, v. 307, n. 1, p. 63-77, . (14/09310-5)
MARCOS, EDUARDO DO N.; MOREIRA, MARCELO. iecewise hereditary incidence algebras of Dynkin and extended Dynkin typ. COMMUNICATIONS IN ALGEBRA, v. 50, n. 3, . (14/09310-5)
ALVARES, EDSON RIBEIRO; LE MEUR, PATRICK; MARCOS, EDUARDO N.. The strong global dimension of piecewise hereditary algebras. Journal of Algebra, v. 481, p. 36-67, . (14/09310-5)
DMYTRYSHYN, ANDRII; FUTORNY, VYACHESLAV; KLYMCHUK, TETIANA; SERGEICHUK, VLADIMIR V.. Generalization of Roth's solvability criteria to systems of matrix equations. Linear Algebra and its Applications, v. 527, p. 294-302, . (14/09310-5, 15/05864-9)
FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. New Singular Gelfand-Tsetlin gl(n)-Modules of Index 2. Communications in Mathematical Physics, v. 355, n. 3, p. 1209-1241, . (14/09310-5)
CORTES, WAGNER; MARCOS, EDUARDO N.. Description of partial actions. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, . (14/09310-5)
CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. Han's conjecture for bounded extensions. Journal of Algebra, v. 598, p. 20-pg., . (14/09310-5)
IUSENKO, KOSTIANTYN; MACQUARRIE, JOHN WILLIAM; QUIRINO, SAMUEL. A Functorial Approach to Gabrielk-quiver Constructions for Coalgebras and Pseudocompact Algebras. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 52, n. 3, p. 697-719, . (18/23690-6, 14/09310-5)
MARCOS, EDUARDO N.; SOLOTAR, ANDREA; VOLKOV, YURY. Generating degrees for graded projective resolutions. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 17, n. 10, . (14/19521-3, 14/09310-5)
QUISPE URURE, RONALD ISMAEL; GONCALVES, DIMAS JOSE. Central polynomials with involution for the algebra of 2 x 2 upper triangular matrices. LINEAR & MULTILINEAR ALGEBRA, v. 69, n. 10, . (14/09310-5)
FUTORNY, VYACHESLAV; KLYMCHUK, TETIANA; SERGEICHUK, VLADIMIR V.. Roth's solvability criteria for the matrix equations AX - (X)over-capB = C and X - A(X)over-capB = C over the skew field of quaternions with an involutive automorphism q -> (q)over-cap. Linear Algebra and its Applications, v. 510, p. 246-258, . (14/09310-5, 15/05864-9)
FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE; ZHANG, JIAN. Explicit construction of irreducible modules for U-q(gl(n)). SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 13, n. 1, p. 83-95, . (15/05927-0, 14/09310-5, 18/17955-7)
PETROGRADSKY, VICTOR; SHESTAKOV, I. P.. On Jordan doubles of slow growth of Lie superalgebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 13, n. 1, p. 158-176, . (14/09310-5, 16/18068-9)
GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, CLAUDIA I.. Derivations of Lotka-Volterra algebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 13, n. 1, p. 292-304, . (14/09310-5)
FUTORNY, VYACHESLAV; KRIZKA, LIBOR; ZHANG, JIAN. Quantum Howe duality and invariant polynomials. Journal of Algebra, v. 530, p. 326-367, . (15/05927-0, 14/09310-5)
PCHELINTSEV, S. V.; SHESTAKOV, I. P.. CONSTANTS OF PARTIAL DERIVATIONS AND PRIMITIVE OPERATIONS. Algebra and Logic, v. 56, n. 3, p. 210-231, . (14/09310-5)
FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. Singular Gelfand-Tsetlin modules of gl(n). ADVANCES IN MATHEMATICS, v. 290, p. 453-482, . (11/21621-8, 14/09310-5, 12/23450-9)
FUTORNY, VYACHESLAV; KLYMCHUK, TETIANA; PETRAVCHUK, ANATOLII P.; SERGEICHUK, VLADIMIR V.. Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras. Linear Algebra and its Applications, v. 536, p. 201-209, . (14/09310-5, 15/05864-9)
JAKELIC, DIJANA; MOURA, ADRIANO. Limits of Multiplicities in Excellent Filtrations and Tensor Product Decompositions for Affine Kac-Moody Algebras. ALGEBRAS AND REPRESENTATION THEORY, v. 21, n. 1, p. 239-258, . (14/09310-5)
QUINTERO VANEGAS, E. O.; GUTIERREZ FERNANDEZ, JUAN C.. Power associative nilalgebras of dimension 9. Journal of Algebra, v. 495, p. 233-263, . (14/09310-5)
FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE; ZHANG, JIAN. Irreducible subquotients of generic Gelfand-Tsetlin modules over U-q(gl(n)). Journal of Pure and Applied Algebra, v. 222, n. 10, p. 3182-3194, . (15/05927-0, 14/09310-5)
VISHNYAKOVA, E. G.. Vector fields on gl(m vertical bar n)(C)-flag supermanifolds. Journal of Algebra, v. 459, p. 1-28, . (14/09310-5)
COX, BEN; FUTORNY, VYACHESLAV; MISRA, KAILASH C.. Imaginary Verma modules and Kashiwara algebras for U-q((g)over-cap). Journal of Algebra, v. 424, p. 390-415, . (14/09310-5)
GONCALVES FONSECA, LUIS FELIPE; DE MELLO, THIAGO CASTILHO. Degree-inverting involutions on matrix algebras. LINEAR & MULTILINEAR ALGEBRA, v. 66, n. 6, p. 1104-1120, . (14/10352-4, 14/09310-5)
GREEN, EDWARD L.; MADSEN, DAG OSKAR; MARCOS, EDUARDO. Cohomological comparison theorem. Journal of Pure and Applied Algebra, v. 219, n. 12, p. 5573-5589, . (14/09310-5)
LANZILOTTA, MARCELO; MARCOS, EDUARDO; MATA, GUSTAVO. Igusa Todorov functions for radical square zero algebras. Journal of Algebra, v. 487, p. 357-385, . (14/09310-5)
COX, BEN; JURISICH, ELIZABETH; MARTINS, RENATO A.. The three point gauge algebra nu (sic) sl(2, R) circle plus (Omega(R)/dR) and its action on a Fock space. Journal of Algebra, v. 521, p. 44-64, . (14/09310-5)
FUTORNY, VYACHESLAV; IUSENKO, KOSTIANTYN. Stable representations of posets. Journal of Pure and Applied Algebra, v. 223, n. 12, p. 5251-5278, . (14/09310-5, 15/00116-4)
FUTORNY, VYACHESLAV; KOCHLOUKOVA, DESSISLAVA H.; SIDKI, SAID N.. On self-similar Lie algebras and virtual endomorphisms. MATHEMATISCHE ZEITSCHRIFT, v. 292, n. 3-4, p. 1123-1156, . (16/05271-0, 14/09310-5, 16/05678-3)
GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, I, CLAUDIA. On Lotka-Volterra algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 18, n. 10, . (14/09310-5)
FOLLECO SOLARTE, OLMER; SHESTAKOV, IVAN. Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket. Journal of Algebra, v. 455, p. 291-313, . (14/09310-5)
CIBILS, CLAUDE; MARCOS, EDUARDO N.. Invariants of a free linear category and representation type. Journal of Pure and Applied Algebra, v. 220, n. 9, p. 3119-3132, . (14/09310-5)
GONCALVES, DIMAS JOSE; SCHUTZER, WALDECK; TALPO, HUMBERTO LUIZ. A-identities for the 2 x 2 matrix algebra. ARCHIV DER MATHEMATIK, v. 106, n. 5, p. 417-429, . (14/09310-5)
IUSENKO, KOSTIANTYN; MACQUARRIE, JOHN WILLIAM. The Path Algebra as a Left Adjoint Functor. ALGEBRAS AND REPRESENTATION THEORY, v. 23, n. 1, p. 33-52, . (14/09310-5)
FUTORNY, VYACHESLAV; KRIZKA, LIBOR. Geometric construction of Gelfand-Tsetlin modules over simple Lie algebras. Journal of Pure and Applied Algebra, v. 223, n. 11, p. 4901-4924, . (14/09310-5)
FONSECA, CLAUDIA CAVALCANTE; IUSENKO, KOSTIANTYN. On dimension of poset variety. Linear Algebra and its Applications, v. 568, p. 155-164, . (14/09310-5, 15/00116-4)
FOURIER, GHISLAIN; MARTINS, VICTOR; MOURA, ADRIANO. On truncated Weyl modules. COMMUNICATIONS IN ALGEBRA, v. 47, n. 3, p. 1125-1146, . (14/09310-5)
QUINTERO VANEGAS, E. O.; GUTIERREZ FERNANDEZ, JUAN C.. Nilpotent linear spaces and Albert's Problem. Linear Algebra and its Applications, v. 518, p. 57-78, . (14/09310-5)
FUTORNY, VYACHESLAV; HORN, ROGER A.; SERGEICHUK, VLADIMIR V.. Specht's criterion for systems of linear mappings. Linear Algebra and its Applications, v. 519, p. 278-295, . (14/09310-5, 15/05864-9)
FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE; ZHANG, JIAN. Gelfand-Tsetlin modules of quantum gl(n) defined by admissible sets of relations. Journal of Algebra, v. 499, p. 375-396, . (14/09310-5, 15/05927-0)
FUTORNY, VYACHESLAV; LIU, GENQIANG; LU, RENCAI; ZHAO, KAIMING. New families of irreducible weight modules over sl(3). Journal of Algebra, v. 501, p. 458-472, . (14/09310-5, 15/08615-0)
QUISPE URURE, RONALD ISMAEL; GONCALVES, DIMAS JOSE. Identities with involution for 2 x 2 upper triangular matrices algebra over a finite field. Linear Algebra and its Applications, v. 544, p. 223-253, . (14/09310-5)
BAVULA, V.; BEKKERT, V.; FUTORNY, V.. INDECOMPOSABLE GENERALIZED WEIGHT MODULES OVER THE ALGEBRA OF POLYNOMIAL INTEGRO-DIFFERENTIAL OPERATORS. Proceedings of the American Mathematical Society, v. 146, n. 6, p. 2373-2380, . (13/24392-5, 14/09310-5)
MARCOS, EDUARDO DO NASCIMENTO; VOLKOV, YURY. Homogeneous triples for homogeneous algebras with two relations. Journal of Algebra, v. 599, p. 47-pg., . (18/07046-0, 14/09310-5)
COX, BEN; FUTORNY, VYACHESLAV; MISRA, KAILASH C.; JING, N; MISRA, KC. Imaginary crystal bases for U-q(<(sl(2))over cap>)-modules in category O-red,im(q). REPRESENTATIONS OF LIE ALGEBRAS, QUANTUM GROUPS AND RELATED TOPICS, v. 713, p. 13-pg., . (14/09310-5)
FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE; JING, N; MISRA, KC. Gelfand-Tsetlin modules of sl(3) in the principal block. REPRESENTATIONS OF LIE ALGEBRAS, QUANTUM GROUPS AND RELATED TOPICS, v. 713, p. 14-pg., . (14/09310-5)
FUTORNY, VYACHESLAV; KASHUBA, IRYNA. Structure of parabolically induced modules for affine Kac-Moody algebras. Journal of Algebra, v. 500, p. 13-pg., . (16/08740-1, 14/09310-5)
MOSTOVOY, JACOB; PEREZ-IZQUIERDO, JOSE M.; SHESTAKOV, IVAN P.. ON TORSION-FREE NILPOTENT LOOPS. QUARTERLY JOURNAL OF MATHEMATICS, v. 70, n. 3, p. 1091-1104, . (14/09310-5)
CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. Hochschild cohomology of algebras arising from categories and from bounded quivers. JOURNAL OF NONCOMMUTATIVE GEOMETRY, v. 13, n. 3, p. 1011-1053, . (14/09310-5)
FUTORNY, VYACHESLAV; KRIZKA, LIBOR; ZHANG, JIAN. Generalized Verma Modules over U-q(sl(n)(C)). ALGEBRAS AND REPRESENTATION THEORY, v. 23, n. 3, p. 811-832, . (15/05927-0, 14/09310-5)
SHESTAKOV, IVAN; ZELMANOV, EFIM. A finite presentation of Jordan algebras. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 28, n. 8, SI, p. 1705-1716, . (14/09310-5)
ARAKAWA, TOMOYUKI; FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE. Weight Representations of Admissible Affine Vertex Algebras. Communications in Mathematical Physics, v. 353, n. 3, p. 1151-1178, . (15/06469-6, 14/09310-5)
DINIZ, DIOGO; KOSHLUKOV, PLAMEN. Embeddings for the Jordan algebra of a bilinear form. ADVANCES IN MATHEMATICS, v. 337, p. 294-316, . (14/09310-5)
MOURA, ADRIANO; PEREIRA, FERNANDA. NON-MINIMALITY OF CERTAIN IRREGULAR COHERENT PREMINIMAL AFFINIZATIONS. PACIFIC JOURNAL OF MATHEMATICS, v. 297, n. 1, p. 147-193, . (14/09310-5, 09/16309-5)
CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. DELETING OR ADDING ARROWS OF A BOUND QUIVER ALGEBRA AND HOCHSCHILD (CO)HOMOLOGY. Proceedings of the American Mathematical Society, v. 148, n. 6, p. 2421-2432, . (14/09310-5)
BIANCHI, ANGELO; DINIZ, DIOGO. Identities and isomorphisms of finite-dimensional graded simple algebras. Journal of Algebra, v. 526, p. 333-344, . (14/09310-5)
ESHMATOV, FARKHOD; FUTORNY, VYACHESLAV; OVSIENKO, SERGIY; SCHWARZ, JOAO FERNANDO. NONCOMMUTATIVE NOETHER'S PROBLEM FOR COMPLEX REFLECTION GROUPS. Proceedings of the American Mathematical Society, v. 145, n. 12, p. 5043-5052, . (13/22068-6, 14/25612-1, 14/09310-5)
MOSTOVOY, J.; PEREZ-IZQUIERDO, J. M.; SHESTAKOV, I. P.. A NON-ASSOCIATIVE BAKER-CAMPBELL-HAUSDORFF FORMULA. Proceedings of the American Mathematical Society, v. 145, n. 12, p. 5109-5122, . (14/09310-5)
KOSHLUKOV, PLAMEN; YUKIHIDE, FELIPE. Elementary gradings on the Lie algebra UTn(-). Journal of Algebra, v. 473, p. 66-79, . (13/22802-1, 14/09310-5)
CALIXTO, LUCAS; MOURA, ADRIANO; SAVAGE, ALISTAIR. Equivariant Map Queer Lie Superalgebras. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v. 68, n. 2, p. 258-279, . (13/08430-4, 14/09310-5)
POZHIDAEV, A. P.; SHESTAKOV, I. P.. Simple finite-dimensional modular noncommutative Jordan superalgebras. Journal of Pure and Applied Algebra, v. 223, n. 6, p. 2320-2344, . (14/13271-5, 14/09310-5)
FUTORNY, VYACHESLAV; GROCHOW, JOSHUA A.; SERGEICHUK, VLADIMIR V.. Wildness for tensors. Linear Algebra and its Applications, v. 566, p. 212-244, . (14/09310-5, 15/05864-9)
FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. Drinfeld category and the classification of singular Gelfand-Tsetlin -modules. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 2019, n. 5, p. 1463-1478, . (14/09310-5)
COX, BEN; FUTORNY, VYACHESLAV; MISRA, KAILASH C.. Imaginary Verma modules for U-q<((sl(2)))over cap> and crystal-like bases. Journal of Algebra, v. 481, p. 12-35, . (14/09310-5)
FAGUNDES, PEDRO S.; DE MELLO, THIAGO C.. IMAGES OF MULTILINEAR POLYNOMIALS OF DEGREE UP TO FOUR ON UPPER TRIANGULAR MATRICES. OPERATORS AND MATRICES, v. 13, n. 1, p. 283-292, . (14/09310-5)
BAVULA, VOLODYMYR; FUTORNY, VYACHESLAV. Rings of invariants of finite groups when the bad primes exist. COMMUNICATIONS IN ALGEBRA, v. 47, n. 10, . (14/09310-5, 17/02946-0)
GONCALVES, DIMAS JOSE; SCHUETZER, WALDECK; TALPO, HUMBERTO LUIZ. On Ideals That Are Closed Under Continuous Endomorphisms. COMMUNICATIONS IN ALGEBRA, v. 44, n. 6, p. 2583-2591, . (14/09310-5)
GUTIERREZ FERNANDEZ, JUAN C.; GARCIA, CLAUDIA I.. On Jordan-Nilalgebras of Index 3. COMMUNICATIONS IN ALGEBRA, v. 44, n. 10, p. 4277-4293, . (14/09310-5)
BILLIG, YULY; FUTORNY, VYACHESLAV. Lie algebras of vector fields on smooth ane varieties. COMMUNICATIONS IN ALGEBRA, v. 46, n. 8, p. 3413-3429, . (15/05859-5, 14/09310-5)
CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SOLOTAR, ANDREA. Jacobi-Zariski long nearly exact sequences for associative algebras. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v. 53, n. 6, p. 1636-1650, . (14/09310-5)
MOURA, A.; PEREIRA, F.. ON TENSOR PRODUCTS OF A MINIMAL AFFINIZATION WITH AN EXTREME KIRILLOV-RESHETIKHIN MODULE FOR TYPE A. TRANSFORMATION GROUPS, v. 23, n. 4, p. 989-1044, . (14/09310-5, 09/16309-5)
KORNEV, A. I.; SHESTAKOV, I. P.. On associative representations of non-associative algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 17, n. 3, . (14/09310-5)
FUTORNY, VYACHESLAV; RAMIREZ, LUIS ENRIQUE; ZHANG, JIAN. Gelfand-Tsetlin representations of finite W-algebras. Journal of Pure and Applied Algebra, v. 224, n. 5, . (15/05927-0, 14/09310-5, 18/17955-7)
MARCOS, EDUARDO N.; MENDOZA, OCTAVIO; SAENZ, CORINA. Cokernels of the Cartan matrix and stratifying systems. COMMUNICATIONS IN ALGEBRA, v. 47, n. 8, p. 3076-3093, . (14/09310-5)
BOVDI, V. A.; GRISHKOV, A. N.. UNITARY AND SYMMETRIC UNITS OF A COMMUTATIVE GROUP ALGEBRA. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 62, n. 3, p. 641-654, . (14/09310-5)
MURAKAMI, L. S. I.; PCHELINTSEV, S. V.; SHASHKOV, O. V.. Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part. Journal of Algebra, v. 528, p. 150-176, . (14/09310-5)
FUTORNY, VYACHESLAV; KRIZKA, LIBOR; SOMBERG, PETR. Geometric realizations of affine Kac-Moody algebras. Journal of Algebra, v. 528, p. 177-216, . (14/09310-5)
KUZ'MIN, ALEXEY; SHESTAKOV, IVAN. Basic superranks for varieties of algebras. Journal of Algebra, v. 478, p. 58-91, . (14/09310-5, 10/51880-2)
KOSHLUKOV, PLAMEN; YUKIHIDE, FELIPE. Group gradings on the Lie algebra of upper triangular matrices. Journal of Algebra, v. 477, p. 294-311, . (14/09310-5, 13/22802-1)
FUTORNY, VYACHESLAV; SCHWARZ, JOAO. Galois orders of symmetric differential operators. ALGEBRA & DISCRETE MATHEMATICS, v. 23, n. 1, p. 35-46, . (14/09310-5, 14/25612-1)
GONCALVES FONSECA, LUIS FELIPE; DE MELLO, THIAGO CASTILHO. Graded polynomial Identities for matrices with the transpose involution over an infinite field. COMMUNICATIONS IN ALGEBRA, v. 46, n. 4, p. 1630-1640, . (14/09310-5, 14/10352-4)
KAYGORODOV, IVAN; SHESTAKOV, IVAN; UMIRBAEV, UALBAI. Free generic Poisson fields and algebras. COMMUNICATIONS IN ALGEBRA, v. 46, n. 4, p. 1799-1812, . (14/24519-8, 14/09310-5)
MARCOS, EDUARDO N.; MENDOZA, OCTAVIO; SAENZ, CORINA; SANTIAGO, VALENTE. Wide subcategories of finitely generated A-modules. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 17, n. 5, . (14/09310-5)
PEREIRA DA SILVA E SILVA, DIOGO DINIZ; DE MELLO, THIAGO CASTILHO. Graded identities of block-triangular matrices. Journal of Algebra, v. 464, p. 246-265, . (14/09310-5, 14/10352-4)
BRITO, MATHEUS; CHARI, VYJAYANTHI; MOURA, ADRIANO. DEMAZURE MODULES OF LEVEL TWO AND PRIME REPRESENTATIONS OF QUANTUM AFFINE sln+1. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, v. 17, n. 1, p. 75-105, . (10/19458-9, 14/09310-5)
BIANCHI, ANGELO; WILSON, EVAN. Bases for local Weyl modules for the hyper and truncated current sl(2)-algebras. Journal of Algebra, v. 506, p. 509-539, . (11/12079-5, 14/09310-5, 15/22040-0)
YASUMURA, FELIPE YUKIHIDE; KOSHLUKOV, PLAMEN EMILOV. Asymptotics of graded codimension of upper triangular matrices. Israel Journal of Mathematics, v. 223, n. 1, p. 423-439, . (14/09310-5, 13/22802-1)
HITOMI, EDUARDO; KOSHLUKOV, PLAMEN; YASUMURA, FELIPE. Group gradings on the Lie and Jordan algebras of upper triangular matrices. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 11, n. 2, p. 326-347, . (14/09310-5, 13/22802-1)
PEREZ-IZQUIERDO, JOSE M.; SHESTAKOV, IVAN P.. Co-Moufang Deformations of the Universal Enveloping Algebra of the Algebra of Traceless Octonions. ALGEBRAS AND REPRESENTATION THEORY, v. 18, n. 5, p. 1247-1265, . (14/09310-5)
KOSHLUKOV, PLAMEN; YASUMURA, FELIPE YUKIHIDE. Group gradings on the Jordan algebra of upper triangular matrices. Linear Algebra and its Applications, v. 534, p. 1-12, . (13/22802-1, 14/09310-5)
FREITAS, JOSE A.; KOSHLUKOV, PLAMEN; KRASILNIKOV, ALEXEI. Z-graded identities of the Lie algebra W-1. Journal of Algebra, v. 427, p. 226-251, . (14/09310-5)
DI VINCENZO, ONOFRIO MARIO; KOSHLUKOV, PLAMEN; TOMAZ DA SILVA, VIVIANE RIBEIRO. On Z(p)-graded identities and cocharacters of the Grassmann algebra. COMMUNICATIONS IN ALGEBRA, v. 45, n. 1, p. 343-356, . (14/09310-5)
BIANCHI, ANGELO CALIL; VELOSO, MARCELO OLIVEIRA. Locally nilpotent derivations and automorphism groups of certain Danielewski surfaces. Journal of Algebra, v. 469, p. 96-108, . (14/09310-5)
FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; RAMIREZ, LUIS ENRIQUE. Irreducible Generic Gelfand-Tsetlin Modules of gl(n). Symmetry Integrability and Geometry-Methods and Applications, v. 11, . (11/21621-8, 14/09310-5, 12/23450-9)
FUTORNY, VYACHESLAV; GRANTCHAROV, DIMITAR; MARTINS, RENATO A.. Localization of Free Field Realizations of Affine Lie Algebras. LETTERS IN MATHEMATICAL PHYSICS, v. 105, n. 4, p. 483-502, . (12/02459-8, 11/21621-8, 14/09310-5)
CIBILS, CLAUDE; MARCOS, EDUARDO N.. Resolving by a free action linear category and applications to Hochschild-Mitchell (co)homology. Journal of Algebra, v. 591, p. 117-141, . (14/09310-5)
CIBILS, CLAUDE; LANZILOTTA, MARCELO; MARCOS, EDUARDO N.; SCHROLL, SIBYLLE; SOLOTAR, ANDREA. The first Hochschild (co)homology when adding arrows to a bound quiver algebra. Journal of Algebra, v. 540, p. 63-77, . (14/09310-5)
SHESTAKOV, IVAN; ZELMANOV, EFIM. A finite presentation of Jordan algebras. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 28, n. 8, p. 12-pg., . (14/09310-5)
MARCOS, E.; VOLKOV, Y.. Homogeneous algebras via homogeneous triples. Journal of Algebra, v. 566, p. 24-pg., . (14/09310-5)
SHESTAKOV, IVAN; GUEYE, CT; MOLINA, MS. On Commuting U-Operators in Jordan Algebras. NON-ASSOCIATIVE AND NON-COMMUTATIVE ALGEBRA AND OPERATOR THEORY, NANCAOT, v. 160, p. 5-pg., . (14/09310-5)
MARCOS, E.; MENDOZA, O.; SAENZ, C.; SANTIAGO, V.. Standardly stratified lower triangular K-algebras with enough idempotents. Journal of Pure and Applied Algebra, v. 227, n. 5, p. 23-pg., . (14/09310-5)
KLEINFELD, E.; SHESTAKOV, I. P.. Associators and Commutators in Alternative Algebras. Algebra and Logic, v. 58, n. 4, p. 322-326, . (14/09310-5)

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