Imaginary Verma Modules for $U_q(\widehat{\mathfrak{sl}(2)})$ and Crystal-like bases
Representation Theory
2015-09-04 v1
Abstract
We consider imaginary Verma modules for quantum affine algebraU_q(\widehat{\mathfrak{sl}(2)}) 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 like bases for a suitable category of reduced imaginary Verma modules for U_q(\widehat{\mathfrak{sl}(2)}).
Keywords
Cite
@article{arxiv.1509.00865,
title = {Imaginary Verma Modules for $U_q(\widehat{\mathfrak{sl}(2)})$ and Crystal-like bases},
author = {Ben Cox and Vyacheslav Futorny and Kailash Misra},
journal= {arXiv preprint arXiv:1509.00865},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:0903.1062