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

Published 18 Nov 2014 in math.QA | (1411.4727v2)

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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