On crystal bases of two-parameter $(v, t)$-quantum groups
Quantum Algebra
2014-12-02 v2
Abstract
Following Kashiwara's algebraic approach in one-parameter case, we construct crystal bases for two-parameter quantum algebras and for their integrable modules. We also show that the global crystal basis coincides with the canonical basis geometrically constructed by Fan and Li up to a 2-cocycle deformation.
Cite
@article{arxiv.1411.4727,
title = {On crystal bases of two-parameter $(v, t)$-quantum groups},
author = {Weideng Cui},
journal= {arXiv preprint arXiv:1411.4727},
year = {2014}
}
Comments
Preliminary version; Add references D1-5 at Professor Vladimir Dobrev's request