Work

Brauer Configuration Algebras Induced by Integer Partitions and Their Applications in the Theory of Branched Coverings

Year: 2024

Type: article

Abstract: Brauer configuration algebras are path algebras induced by appropriated multiset systems. Since their structures underlie combinatorial data, the general description of some of their algebraic invariants (e.g., their dimensions or the dimensions of their centers) is a hard problem. Integer partitions and compositions of a given integer number are examples of multiset systems which can be used to define Brauer configuration algebras. This paper gives formulas for the dimensions of Brauer configuration algebras (and their centers) induced by some integer partitions. As an application of these results, we give examples of Brauer configurations, which can be realized as branch data of suitable branched coverings over different surfaces.

Source: Mathematics

DOI: 10.3390/math12223626

Authors: Agustín Moreno Cañadas, José Gregorio Rodríguez-Nieto, Olga Patricia Salazar Díaz

Institution: Universidad Nacional de Colombia

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Universidad Nacional de Colombia