A note on degenerate cyclotomic Yokonuma-Hecke algebras

Abstract

In this note, we first prove that the degenerate cyclotomic Yokonuma-Hecke algebra $Y_{r,n}^d$ is cellular by constructing an explicit cellular basis. We then develop the fusion procedure for $Y_{r,n}^d$, that is, a complete set of pairwise orthogonal primitive idempotents for $Y_{r,n}^d$ is defined by consecutive evaluations of a certain rational function.

arXiv admin note: text overlap with arXiv:1301.4399 by other authors

References in corpus (2)

• A new fusion procedure for the Brauer algebra and evaluation homomorphisms
• On the idempotents of Hecke algebras