Representations of Yokonuma--Hecke algebras

Emiliano Liwski; Martín Mereb

paper

Representations of Yokonuma--Hecke algebras

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 $w_{0}$ and $w_{0}^{2}$ , where $w_{0}$ denotes the element of maximal length in the corresponding Weyl group.