Categorification of Integer Sequences via Brauer Configuration Algebras and the Four Subspace Problem

Agustín Moreno Cañadas, Pedro Fernando Fernández Espinosa and Natalia Agudelo Muñetón
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Agustín Moreno Cañadas: Departamento de Matemáticas, Universidad Nacional de Colombia, Edificio Yu Takeuchi 404, Kra 30 No 45-03, Bogotá 11001000, Colombia
Pedro Fernando Fernández Espinosa: Departamento de Matemáticas, Universidad Nacional de Colombia, Edificio Yu Takeuchi 404, Kra 30 No 45-03, Bogotá 11001000, Colombia
Natalia Agudelo Muñetón: Departamento de Matemáticas, Universidad Nacional de Colombia, Edificio Yu Takeuchi 404, Kra 30 No 45-03, Bogotá 11001000, Colombia

Mathematics, 2022, vol. 10, issue 8, 1-18

Abstract: The four subspace problem is a known matrix problem, which is equivalent to determining all the indecomposable representations of a poset consisting of four incomparable points. In this paper, we use solutions of this problem and invariants associated with indecomposable projective modules with some suitable Brauer configuration algebras to categorify the integer sequence encoded in the OEIS as A100705 and some related integer sequences.

Keywords: Auslander–Reiten quiver; Brauer configuration algebra; categorification; integer sequence; four subspace problem; A100705; OEIS (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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