arXiv:2207.14739 Abstract | arXiv Analytics

arXiv:2207.14739 [math.RT]Abstract References Reviews Resources

On Brauer configuration algebras induced by finite groups

Published 2022-07-29Version 1

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.

Comments: 31 pages, 4 figures. arXiv admin note: text overlap with arXiv:1808.03194

Categories: math.RT, math.GR

Keywords: brauer configuration algebra, finite group, demonstrate combinatorial equalities, module length, cartan matrix

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