Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665751 | Advances in Mathematics | 2014 | 39 Pages |
Abstract
We develop an inductive approach to the representation theory of the Yokonuma-Hecke algebra Yd,n(q), based on the study of the spectrum of its Jucys-Murphy elements which are defined here. We give explicit formulas for the irreducible representations of Yd,n(q) in terms of standard d-tableaux; we then use them to obtain a semisimplicity criterion. Finally, we prove the existence of a canonical symmetrising form on Yd,n(q) and calculate the Schur elements with respect to that form.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Maria Chlouveraki, Loïc Poulain d'Andecy,