Article ID Journal Published Year Pages File Type
4665751 Advances in Mathematics 2014 39 Pages PDF
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)
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