On Brauer configuration algebras induced by finite groups

Autor: Cárdenas, Alex Sierra
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 31 pages, 4 figures. arXiv admin note: text overlap with arXiv:1808.03194
Databáze: arXiv