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Imaginary crystal bases for U-q(<(sl(2))over cap>)-modules in category O-red,im(q)

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Author(s):
Cox, Ben ; Futorny, Vyacheslav ; Misra, Kailash C. ; Jing, N ; Misra, KC
Total Authors: 5
Document type: Journal article
Source: REPRESENTATIONS OF LIE ALGEBRAS, QUANTUM GROUPS AND RELATED TOPICS; v. 713, p. 13-pg., 2018-01-01.
Abstract

Recently we defined imaginary crystal bases for U-q(<(sl(2))over cap>)- modules in category O-red,im(q) and showed the existence of such bases for reduced quantized imaginary Verma modules for U-q(<(sl(2))over cap>). In this paper we show the existence of imaginary crystal basis for any object in the category O-red,im(q). (AU)

FAPESP's process: 14/09310-5 - Algebraic structures and their representations
Grantee:Vyacheslav Futorny
Support Opportunities: Research Projects - Thematic Grants