18 citations · 50 across the 31 of their papers we have counts for
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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…
Kazhdan-Lusztig bases and the asymptotic forms for affine -Schur algebras
Weideng Cui
We define Kazhdan-Lusztig bases and study asymptotic forms for affine -Schur algebras following Du and McGerty. We will show that the analogues of Lusztig's conjectures for Heck…
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…
A categorical equivalence between affine Yokonuma-Hecke algebras and some quiver Hecke algebras
Weideng Cui
Inspired by the work of Rostam, we establish an explicit categorical equivalence between affine Yokonuma-Hecke algebras and quiver Hecke algebras associated to disjoint copies of q…