2 papers
math.RT2025
Generalized Markov traces and Jucys-Murphy elements
Kostiantyn Tolmachov, Heorhii Zhylinskyi
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 genera…
math.PR2025
Random braids and random walks on finite groups
Heorhii Zhylinskyi
In this paper, we study properties of random walks on finite groups and later use them to obtain the limiting braid length expectation and component number of braid closure in a mo…