Brauer configuration algebras and Kronecker modules to categorify integer sequences

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 quiver
• brauer configuration algebra
• categorification
• integer sequence
• kronecker problem
• a052558
• oeis