REPRESENTATIONS OF LOOP KAC-MOODY LIE ALGEBRAS

Autor(es)

Rao, S. Eswara ^[1] ; Futorny, Vyacheslav ^[2]

Afiliação do(s) autor(es)

^[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra - India

^[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05315970 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 41, n. 10, p. 3775-3792, OCT 3 2013.
• Citações Web of Science: 3

Resumo

We study representations of the Loop Kac-Moody Lie algebra ? circle times A, where ? is any Kac-Moody algebra and A is a ring of Laurent polynomials in n commuting variables. In particular, we study representations with finite dimensional weight spaces and their graded versions. When we specialize ? to be a finite dimensional or affine Lie algebra we obtain modules for toroidal Lie algebras. (AU)

• Processo FAPESP: 10/50347-9 - Álgebras, representações e aplicações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático