2 papers
math.RA2025
The Plesken Lie algebra for associative algebras with anti-involution: semisimple cellular algebras
Thorsten Holm, Nils Wirries
Cohen and Taylor, following an idea of Plesken, introduced a Lie algebra to the complex group algebra of a finite group and determined its structure, based on the character theory…
math.CO2024
Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing
Michael Cuntz, Thorsten Holm, Peter Jorgensen
This paper studies a non-commutative generalisation of Coxeter friezes due to Berenstein and Retakh. It generalises several earlier results to this situation: A formula for frieze…