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arXiv · 2207.14739

On Brauer configuration algebras induced by finite groups

Alex Sierra Cárdenas
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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.

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Alex Sierra Cárdenas. 2022-07-29. On Brauer configuration algebras induced by finite groups. https://arxiv.org/abs/2207.14739

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