Advanced search
Start date
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Explicit construction of irreducible modules for U-q(gl(n))

Full text
Futorny, Vyacheslav [1] ; Ramirez, Luis Enrique [2] ; Zhang, Jian [1]
Total Authors: 3
[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP - Brazil
[2] Univ Fed ABC, Santo Andre, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 13, n. 1, p. 83-95, JUN 2019.
Web of Science Citations: 0

We construct new families of U-q(gl(n))-modules by continuation from finite dimensional representations. Each such module is associated with a combinatorial object-admissible set of relations. More precisely, we prove that any admissible set of relations leads to a family of irreducible Uq(gln)-modules. Finite dimensional and generic modules are particular cases of this construction. (AU)

FAPESP's process: 15/05927-0 - Quantum determinants and categorification of quantum groups
Grantee:Jian Zhang
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 18/17955-7 - Tableaux realization of cuspidal modules for Simple Lie algebras
Grantee:Luis Enrique Ramírez
Support Opportunities: Regular Research Grants