| Texto completo | |
| Autor(es): |
Futorny, Vyacheslav
;
Morales, Oscar
;
Krizka, Libor
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Algebra; v. 628, p. 49-pg., 2023-04-04. |
| Resumo | |
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) | |
| Processo FAPESP: | 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos |
| Beneficiário: | Ivan Chestakov |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |