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

被引：0

作者：

Moreno Canadas, Agustin ^{[1
]}

Fernandez Espinosa, Pedro Fernando ^{[1
]}

Agudelo Muneton, Natalia ^{[1
]}

机构：

[1] Univ Nacl Colombia, Dept Matemat, Edificio Yu Takeuchi 404,Kra 30 45-03, Bogota 11001000, Colombia

来源：

MATHEMATICS | 2022年 / 10卷 / 08期

关键词：

Auslander-Reiten quiver; Brauer configuration algebra; categorification; integer sequence; four subspace problem; A100705; OEIS;

D O I：

10.3390/math10081315

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：18

共 5 条

[1] Brauer configuration algebras and Kronecker modules to categorify integer sequences
Moreno Canadas, Agustin
Marin Gaviria, Isaias David
Fernandez Espinosa, Pedro Fernando
ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (02): : 661 - 682
[2] CATEGORIFICATION OF SOME INTEGER SEQUENCES VIA KRONECKER MODULES
Moreno Canadas, Agustin
Fernandez Espinosa, Pedro Fernando
Marin Gaviria, Isaias David
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2016, 38 (04): : 339 - 347
[3] Homological Ideals as Integer Specializations of Some Brauer Configuration Algebras
Espinosa, P. F. Fernandez
Canadas, A. Moreno
UKRAINIAN MATHEMATICAL JOURNAL, 2023, 74 (09) : 1369 - 1385
[4] Homological Ideals as Integer Specializations of Some Brauer Configuration Algebras
P. F. Fernández Espinosa
A. Moreno Cañadas
Ukrainian Mathematical Journal, 2023, 74 : 1369 - 1385
[5] Relationships between the Chicken McNugget Problem, Mutations of Brauer Configuration Algebras and the Advanced Encryption Standard
Moreno Canadas, Agustin
Marin Gaviria, Isaias David
Camacho Vega, Juan David
MATHEMATICS, 2021, 9 (16)

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