Open AccessBrauer configuration algebras and Kronecker modules to categorify integer sequences
Author(s) -
Agustín Moreno Cañadas,
AUTHOR_ID,
Isaías David Marín Gaviria,
Pedro Fernando Fernández Espinosa
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022035
Subject(s) - indecomposable module , mathematics , integer (computer science) , kronecker delta , brauer group , bijection, injection and surjection , pure mathematics , combinatorics , algebra over a field , discrete mathematics , bijection , computer science , physics , quantum mechanics , programming language
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.