4 papers · 1 filter
Non-degeneracy of Killing forms on real conjugacy classes of finite groups
Carsten Dietzel, Charlotte Roelants
Killing forms on finite groups arise as special cases of braided Killing forms on braided Lie algebras. If is a conjugation-stable subset of a finite group , the K…
On Dehornoy's representation for the Yang-Baxter equation
Carsten Dietzel, Edouard Feingesicht, Silvia Properzi
This article investigates Dehornoy's monomial representations for structure groups and Coxeter-like groups associated with a set-theoretic solution to the Yang--Baxter equation. Us…
How structure groups and monoids grow
Carsten Dietzel, Edouard Feingesicht, Victoria Lebed
The structure groups and monoids of set-theoretic solutions to the Yang-Baxter Equation can be regarded as deformations of free abelian groups resp. monoids. In this work, we obtai…
Groups of -type
Carsten Dietzel
In this work, we address a question posed by Dehornoy et al. in the book "Foundations of Garside Theory" that asks for a theory of groups of -type when is a Garsi…