Limits of Multiplicities in Excellent Filtrations and Tensor Product Decompositions for Affine Kac-Moody Algebras

Autor(es)

Jakelic, Dijana ^[1] ; Moura, Adriano ^[2]

Afiliação do(s) autor(es)

^[1] Univ N Carolina, Dept Math & Stat, 601 S Coll Rd, Wilmington, NC 28401 - USA

^[2] Univ Estadual Campinas, Dept Math, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ALGEBRAS AND REPRESENTATION THEORY; v. 21, n. 1, p. 239-258, FEB 2018.
• Citações Web of Science: 0

Resumo

We express the multiplicities of the irreducible summands of certain tensor products of irreducible integrable modules for an affine Kac-Moody algebra over a simply laced Lie algebra as sums of multiplicities in appropriate excellent filtrations (Demazure flags). As an application, we obtain expressions for the outer multiplicities of tensor products of two fundamental modules for in terms of partitions with bounded parts, which subsequently lead to certain partition identities. (AU)

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