18 citations · 50 across the 31 of their papers we have counts for
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Canonical bases of -Brauer algebras and Schur dualities
Weideng Cui, Yaolong Shen
Expanding the classical work of Kazhdan-Lusztig, we construct a bar involution and canonical bases on the -Brauer algebra introduced by Wenzl. We define explicit actions of the…
On crystal bases of two-parameter -quantum groups
Weideng Cui
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 th…
Affine cellularity of affine Brauer algebras
Weideng Cui
We show that the affine Brauer algebras are affine cellular algebras in the sense of Koenig and Xi.
Affine cellularity of affine Birman-Murakami-Wenzl algebras
Weideng Cui
We show that the affine BMW algebras are affine cellular algebras.
The representations of two-parameter Kashiwara algebras
Weideng Cui
In this paper, we give a unified construction of two-parameter quantum groups , two-parameter Kashiwara algebras , two-parameter quant…
Fusion procedure for Yokonuma-Hecke algebras
Weideng Cui
Inspired by the work [PA1], in this note, we prove that a complete set of pairwise orthogonal primitive idempotents of Yokonuma-Hecke algebras can be obtained by consecutive evalua…