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

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.

Preliminary version; Add references D1-5 at Professor Vladimir Dobrev's request

References in corpus (1)

• The representations of two-parameter Kashiwara algebras