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

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

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Cox, Ben ; Futorny, Vyacheslav ; Misra, Kailash C. Total Authors: 3
Document type:	Journal article
Source:	Journal of Algebra; v. 481, p. 12-35, JUL 1 2017.
Web of Science Citations:	1
Abstract
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)

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

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