| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [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 |
| Abstract | |
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 |