A $9$-dimensional algebra which is not a block of a finite group
Representation Theory
2020-05-06 v1
Abstract
We rule out a certain -dimensional algebra over an algebraically closed field to be the basic algebra of a block of a finite group, thereby completing the classification of basic algebras of dimension at most of blocks of finite group algebras.
Keywords
Cite
@article{arxiv.2005.02223,
title = {A $9$-dimensional algebra which is not a block of a finite group},
author = {Markus Linckelmann and William Murphy},
journal= {arXiv preprint arXiv:2005.02223},
year = {2020}
}
Comments
10 pages