Weight Representations of Admissible Affine Vertex Algebras

Autor(es)

Arakawa, Tomoyuki ; Futorny, Vyacheslav ; Ramirez, Luis Enrique

• Tipo de documento: Artigo Científico
• Fonte: Communications in Mathematical Physics; v. 353, n. 3, p. 1151-1178, AUG 2017.
• Citações Web of Science: 5

Resumo

For an admissible affine vertex algebra V-k(g) of type A, we describe a new family of relaxed highest weight representations of V-k (g). They are simple quotients of representations of the affine Kac-Moody algebra (g) over cap induced from the following gmodules: (1) generic Gelfand-Tsetlin modules in the principal nilpotent orbit, in particular all such modules induced from sl(2); (2) all Gelfand-Tsetlin modules in the principal nilpotent orbit that are induced from sl(3); (3) all simple Gelfand-Tsetlin modules over sl(3). This in particular gives the classification of all simple positive energy weight representations of V-k(g) with finite dimensional weight spaces for g = sl(3). (AU)

• Processo FAPESP: 15/06469-6 - Representações de W-álgebras
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático