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arXiv · 1208.4884

A note on degenerate cyclotomic Yokonuma-Hecke algebras

Weideng Cui
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Abstract

In this note, we first prove that the degenerate cyclotomic Yokonuma-Hecke algebra $Y_{r,n}^{d}$ is cellular by constructing an explicit cellular basis. We then develop the fusion procedure for $Y_{r,n}^{d}$, that is, a complete set of pairwise orthogonal primitive idempotents for $Y_{r,n}^{d}$ is defined by consecutive evaluations of a certain rational function.

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BibTeXRIS

Weideng Cui. 2012-08-24. A note on degenerate cyclotomic Yokonuma-Hecke algebras. https://arxiv.org/abs/1208.4884

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