Vertex constructions in representation theory of infinite dimensional Lie algebra.
Representations of twisted affine Lie Superalgebras and their quantizations
| Full text | |
| Author(s): |
Guerrini, Marcela
;
Kashuba, Iryna
;
Morales, Oscar
;
de Oliveira, Andre
;
Santos, Fernando Junior
Total Authors: 5
|
| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 227, n. 7, p. 18-pg., 2023-07-01. |
| Abstract | |
We develop a general technique of constructing new irreducible weight modules for any affine Kac-Moody algebra using the parabolic induction, in the case when the Levi factor of a parabolic subalgebra is infinite-dimensional and the central charge is nonzero. Our approach unifies and generalizes all previously known results with imposed restrictions on inducing modules. We also define generalized imaginary Wakimoto modules which provide an explicit realization for generic generalized imaginary Verma modules.(c) 2023 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 21/14716-4 - Jordan algebras: representations, homology and geometry |
| Grantee: | Iryna Kashuba |
| Support Opportunities: | Regular Research Grants |