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arXiv · 2507.19896

Generalized Markov traces and Jucys-Murphy elements

Kostiantyn Tolmachov·Heorhii Zhylinskyi
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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.

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Kostiantyn Tolmachov, Heorhii Zhylinskyi. 2025-07-26. Generalized Markov traces and Jucys-Murphy elements. https://arxiv.org/abs/2507.19896

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