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Representations of -Yokonuma-Hecke algebras
Weideng Cui
We give two different approaches to classifying the simple modules of -Yokonuma-Hecke algebras over an algebraically closed field of characteristic such that $p…
An Iwahori-Matsumoto presentation of affine Yokonuma-Hecke algebras
Weideng Cui
We first present an Iwahori-Matsumoto presentation of affine Yokonuma-Hecke algebras to give a new proof of the fact, which was previously proved by Chlouver…
Calibrated representations of affine Yokonuma-Hecke algebras
Weideng Cui
Inspired by the work [Ra1], we directly give a complete classification of irreducible calibrated representations of affine Yokonuma-Hecke algebras over $\mat…
Fusion procedure for cyclotomic BMW algebras
Weideng Cui
Inspired by the work [IMOg2], in this note, we prove that the pairwise orthogonal primitive idempotents of generic cyclotomic Birman-Murakami-Wenzl algebras can be constructed by c…
An isomorphism theorem for degenerate cyclotomic Yokonuma-Hecke algebras and applications
Weideng Cui
Inspired by the work [PA], we establish an explicit algebra isomorphism between the degenerate cyclotomic Yokonuma-Hecke algebra and a direct sum of matrix algebra…