On Brauer configuration algebras induced by finite groups
Representation Theory
2022-08-01 v1 Group Theory
Abstract
In this article we calculate two aspects of the representation theory of a Brauer configuration algebra: its Cartan matrix, and the module length of its associated indecomposable projective modules. Then we introduce the concept of subgroup-occurrence of an element in a group and use the previous aspects to demonstrate combinatorial equalities satisfied for any finite group.
Keywords
Cite
@article{arxiv.2207.14739,
title = {On Brauer configuration algebras induced by finite groups},
author = {Alex Sierra Cárdenas},
journal= {arXiv preprint arXiv:2207.14739},
year = {2022}
}
Comments
31 pages, 4 figures. arXiv admin note: text overlap with arXiv:1808.03194