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Ore Domainas: localizations, invariants and representations.

Grant number: 18/18146-5
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): December 01, 2018
Effective date (End): November 30, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal researcher:Vyacheslav Futorny
Grantee:João Fernando Schwarz
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil


In this post-doctoral project, we plan to study invariants of many Ore domains which have infinite dimension over their center. In particular: rings of differential operators, certain quantum groups, and the important class of Galois algebras. We have interest in structural aspects, in special the localization of these rings of invariantes, and also interest in representation theoretical aspects, in particular Gelfand-Tsetlin categories.

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Scientific publications
(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; SCHWARZ, JOAO. Algebras of invariant differential operators. Journal of Algebra, v. 542, p. 215-229, . (18/18146-5, 16/14648-0, 14/25612-1, 18/23690-6)
FUTORNY, VYACHESLAV; SCHWARZ, JOAO; SHESTAKOV, IVAN. LD-stability for Goldie rings. Journal of Pure and Applied Algebra, v. 225, n. 11, . (18/23690-6, 18/18146-5)
FUTORNY, VYACHESLAV; SCHWARZ, JOAO. Holonomic modules for rings of invariant differential operators. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 31, n. 04, p. 605-622, . (18/18146-5, 18/23690-6)

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