Imaginary Verma modules and Kashiwara algebras for U-q((g)over-cap)

Autor(es)

Cox, Ben ^[1] ; Futorny, Vyacheslav ^[2] ; Misra, Kailash C. ^[3]

Afiliação do(s) autor(es)

^[1] Coll Charleston, Dept Math, Grad Sch, Charleston, SC 29424 - USA

^[2] Univ Sao Paulo, Dept Math, Sao Paulo - Brazil

^[3] N Carolina State Univ, Dept Math, Raleigh, NC 27695 - USA

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 424, p. 390-415, FEB 15 2015.
• Citações Web of Science: 1

Resumo

We consider imaginary Verma modules for quantum affine algebra U-q((g) over cap), where (g) over cap has Coxeter-Dynkin diagram of ADE type, and construct Kashiwara type operators and the Kashiwara algebra K-q. We show that a certain quotient N-q(-) of U-q((g) over cap) is a simple K-q-module. (C) 2014 Elsevier Inc. All rights reserved. (AU)

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