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Imaginary Verma Modules and Kashiwara Algebras for U-q((sl(2))over cap).

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Author(s):
Cox, Ben ; Futorny, Vyacheslav ; Misra, Kailash C. ; Gao, Y ; Jing, N ; Lau, M ; Misra, KC
Total Authors: 7
Document type: Journal article
Source: GROUPS, ALGEBRAS AND APPLICATIONS; v. 506, p. 2-pg., 2010-01-01.
Abstract

We consider imaginary Verma modules for quantum affine algebra U-q(<(sl((2))over cap>) and construct Kashiwara type operators and the Kashiwara algebra K-q. We show that a certain quotient Nq(-) of U-q(<(sl((2))over cap>) is a simple kq-module. (AU)

FAPESP's process: 05/60337-2 - Lie and Jordan algebras, their representations and generalizations
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants