An Iwahori-Matsumoto presentation of affine Yokonuma-Hecke algebras

2016/10/17 by Weideng Cui, Cui, Weideng
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1610.04993

openalex publication_date 2016/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We first present an Iwahori-Matsumoto presentation of affine Yokonuma-Hecke algebras \widehatY_r,n(q) to give a new proof of the fact, which was previously proved by Chlouveraki and Sécherre, that \widehatY_r,n(q) is a particular case of the pro-p-Iwahori-Hecke algebras defined by Vignéras, meanwhile, we give one application. Using the new presentation, we then give a third presentation of \widehatY_r,n(q), from which we immediately get an unexpected result, that is, the extended affine Hecke algebra of type A is a subalgebra of the affine Yokonuma-Hecke algebra.

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