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Title: Brauer configuration algebras: A generalization of Brauer graph algebras
Authors: Green, Edward L.
Schroll, Sibylle
First Published: 6-Jun-2017
Publisher: Elsevier
Citation: Bulletin des Sciences Mathématiques, 2017, 141 (6), pp. 539-572
Abstract: In this paper we introduce a generalization of a Brauer graph algebra which we call a Brauer configuration algebra. As with Brauer graphs and Brauer graph algebras, to each Brauer configuration, there is an associated Brauer configuration algebra. We show that Brauer configuration algebras are finite dimensional symmetric algebras. After studying and analysing structural properties of Brauer configurations and Brauer configuration algebras, we show that a Brauer configuration algebra is multiserial; that is, its Jacobson radical is a sum of uniserial modules whose pairwise intersection is either zero or a simple module. The paper ends with a detailed study of the relationship between radical cubed zero Brauer configuration algebras, symmetric matrices with non-negative integer entries, finite graphs and associated symmetric radical cubed zero algebras.
DOI Link: 10.1016/j.bulsci.2017.06.001
ISSN: 0007-4497
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2017, Elsevier. Deposited with reference to the publisher’s open access archiving policy.
Description: The file associated with this record is under embargo until 12 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
MSC 16G20; 16D50
Appears in Collections:Published Articles, Dept. of Mathematics

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