New Singular Gelfand-Tsetlin gl(n)-Modules of Index 2

Autor(es)

Futorny, Vyacheslav ; Grantcharov, Dimitar ; Ramirez, Luis Enrique

• Tipo de documento: Artigo Científico
• Fonte: Communications in Mathematical Physics; v. 355, n. 3, p. 1209-1241, NOV 2017.
• Citações Web of Science: 8

Resumo

Singular Gelfand-Tsetlin modules of index 2 are modules whose tableaux bases may have singular pairs but no singular triples of entries on each row. In this paper we construct singular Gelfand-Tsetlin modules for arbitrary singular character of index 2. Explicit bases of derivative tableaux and the action of the generators of gl(n) are given for these modules. Our construction leads to new families of irreducible Gelfand-Tsetlin modules and also provides tableaux bases for some simple Verma modules. (AU)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático