Fusion procedure for Yokonuma–Hecke algebras
Volume 154 / 2018
Colloquium Mathematicum 154 (2018), 31-45
MSC: Primary 20C08; Secondary 05E10.
DOI: 10.4064/cm7315-12-2017
Published online: 5 July 2018
Abstract
By generalizing the approach of Poulain d’Andecy (2014), we introduce certain Baxterized elements for Yokonuma–Hecke algebras, and use them to prove that a complete set of pairwise orthogonal primitive idempotents of Yokonuma–Hecke algebras can be obtained by consecutive evaluations of a certain rational function.