Representations of Yokonuma--Hecke algebras

2024/08/27 by Emiliano Liwski, Liwski, Emiliano, Martı́n Mereb +1
Mathematics · #Advanced Topics in Algebra #Advanced Operator Algebra Research #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2408.15405

Abstract

The Iwahori--Hecke and Yokonuma--Hecke algebras have played crucial roles in algebraic combinatorics and the representation theory of finite groups. In this work, we use classical results from representation theory to compute the character values of the Yokonuma--Hecke algebra at w₀ and w₀², where w₀ denotes the element of maximal length in the corresponding Weyl group.

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