A counterexample to a conjecture on Cartan determinants of monoid algebras
Representation Theory
2023-06-27 v1 Rings and Algebras
Abstract
We show that there are finite monoids such that the Cartan matrix of the monoid algebra is non-singular, whilst the Cartan matrix of is singular for some field of positive characteristic, disproving a recent conjecture of Steinberg.
Cite
@article{arxiv.2306.14002,
title = {A counterexample to a conjecture on Cartan determinants of monoid algebras},
author = {Florian Eisele},
journal= {arXiv preprint arXiv:2306.14002},
year = {2023}
}