| Full text | |
| Author(s): |
Cardoso, Maria Clara
;
Futorny, Vyacheslav
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 151, n. 3, p. 13-pg., 2023-03-01. |
| Abstract | |
. We use induction from parabolic subalgebras with infinite-dimensional Levi factor to construct new families of irreducible representations for arbitrary affine Kac-Moody algebras. Our first construction defines a functor from the category of Whittaker modules over the Levi factor of a parabolic subalgebra to the category of modules over the affine Lie algebra. The second functor sends tensor products of a module over the affine part of the Levi factor (in particular any weight module) and of a Whittaker module over the complement Heisenberg subalgebra to the affine Lie algebra modules. Both functors preserve irreducibility when the central charge is nonzero. (AU) | |
| FAPESP's process: | 19/24494-9 - Representations of W-algebras |
| Grantee: | Maria Clara Cardoso |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |