Generalized Markov traces and Jucys-Murphy elements
Representation Theory
2025-07-29 v1
Abstract
We give a simple construction of Markov traces for Iwahori-Hecke algebras associated with infinite series of crystallographic Coxeter groups. In types B and D it is new, and generalizes a known construction in type A employing symmetric polynomials in multiplicative Jucys-Murphy elements.
Cite
@article{arxiv.2507.19896,
title = {Generalized Markov traces and Jucys-Murphy elements},
author = {Kostiantyn Tolmachov and Heorhii Zhylinskyi},
journal= {arXiv preprint arXiv:2507.19896},
year = {2025}
}