Irreducible completely pointed modules of quantum groups of type A

Autor(es)

Futorny, Vyacheslav ^[1] ; Hartwig, Jonas ^[2] ; Wilson, Evan ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Math, BR-05315970 Sao Paulo, SP - Brazil

^[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 - USA

^[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 - USA

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 432, p. 252-279, JUN 15 2015.
• Citações Web of Science: 1

Resumo

We give a classification of all irreducible completely pointed U-q(Sl(n+1)) modules over a characteristic zero field in which q is not a root of unity. This generalizes the classification result of Benkart, Britten and Lemire in the non-quantum case. We also show that any infinite-dimensional irreducible completely pointed U-q(Sl(n+1)) can be obtained from some irreducible completely pointed module over the quantized Weyl algebra A(n+1)(q). 2015 Elsevierdnc. All rights reserved. (AU)

• Processo FAPESP: 10/50347-9 - Álgebras, representações e aplicações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 11/12079-5 - Representações de Álgebras de Kac-Moody e grupos quânticos
• Beneficiário: Evan Andrew Wilson
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado