Imaginary Verma modules for U-q<((sl(2)))over cap> and crystal-like bases

Autor(es)

Cox, Ben ; Futorny, Vyacheslav ; Misra, Kailash C.

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 481, p. 12-35, JUL 1 2017.
• Citações Web of Science: 1

Resumo

We consider imaginary Verma modules for quantum affine algebra U-q<((sl(2)))over cap> and define a crystal-like base which we call an imaginary crystal basis using the Kashiwara algebra K-q constructed in earlier work of the authors. In particular, we prove the existence of imaginary crystal-like bases for a suitable category of reduced imaginary Verma modules for U-q<((sl(2)))over cap>. (C) 2017 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