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arXiv · 1411.4727

On crystal bases of two-parameter $(v, t)$-quantum groups

Weideng Cui
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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.

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Weideng Cui. 2014-11-18. On crystal bases of two-parameter $(v, t)$-quantum groups. https://arxiv.org/abs/1411.4727

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