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

Author

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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
    These authors contributed equally to this work.)

  • Pedro Fernando Fernández Espinosa

    (Departamento de Matemáticas, Universidad Nacional de Colombia, Edificio Yu Takeuchi 404, Kra 30 No 45-03, Bogotá 11001000, Colombia
    These authors contributed equally to this work.)

  • Natalia Agudelo Muñetón

    (Departamento de Matemáticas, Universidad Nacional de Colombia, Edificio Yu Takeuchi 404, Kra 30 No 45-03, Bogotá 11001000, Colombia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Agustín Moreno Cañadas & Pedro Fernando Fernández Espinosa & Natalia Agudelo Muñetón, 2022. "Categorification of Integer Sequences via Brauer Configuration Algebras and the Four Subspace Problem," Mathematics, MDPI, vol. 10(8), pages 1-18, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1315-:d:794424
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