Representations of hyper loop algebras and equivariant map algebras
Excellent filtrations and combinatorial aspects of representations of affine Kac-M...
Classification and Structure of certain Representations of Quantum Affine Algebras
| Full text | |
| Author(s): |
Futorny, Vyacheslav
;
Morales, Oscar
;
Krizka, Libor
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 628, p. 49-pg., 2023-04-04. |
| Abstract | |
We provide an explicit combinatorial description of highest weights of simple highest weight modules over the simple affine vertex algebra L kappa(s[n+1) with n is an element of N of admissible level kappa. For admissible simple highest weight modules correspond-ing to the principal, subregular and maximal parabolic nilpo-tent orbits we give a realization using the Gelfand-Tsetlin theory, which also allows us to obtain a realization of certain classes of simple admissible s[2-induced modules in these or-bits. In particular, simple admissible s[2-induced modules are fully classified for the principal nilpotent orbit. (c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |