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Research Article | Open Access

Brauer configuration algebras and Kronecker modules to categorify integer sequences

Agustín Moreno Cañadas, Isaías David Marín Gaviria, Pedro Fernando Fernández Espinosa( )
Departamento de Matemáticas, Universidad Nacional de Colombia, Edificio Yu Takeuchi 404, Kra 30 No 45-03, Bogotá 11001000, Colombia
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Abstract

Bijections between invariants associated with indecomposable projective modules over some suitable Brauer configuration algebras and invariants associated with solutions of the Kronecker problem are used to categorify integer sequences in the sense of Ringel and Fahr. Dimensions of the Brauer configuration algebras and their corresponding centers involved in the different processes are also given.

Keywords

Auslander-Reiten quiverBrauer configuration algebracategorificationinteger sequenceKronecker problemA052558OEIS

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Electronic Research Archive
Volume 30 Issue 2,
February 2022
Pages 661-682
DOI: 10.3934/era.2022035

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Cite this article:
Cañadas AM, Gaviria IDM, Espinosa PFF. Brauer configuration algebras and Kronecker modules to categorify integer sequences. Electronic Research Archive, 2022, 30(2): 661-682. https://doi.org/10.3934/era.2022035

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Received: 22 January 2022
Revised: 14 February 2022
Accepted: 16 February 2022
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)