Introducción a las álgebras de configuración de Brauer

Abstract

In this paper we develop a brief introduction to a new class of finite dimensional and wild nature algebras, called Brauer configuration algebras. of finite dimension and wild nature, called Brauer configuration algebras. For the construction of these algebras algebras we take as a starting point a combinatorial object consisting mainly of a set of vertices and polygons. a set of vertices and polygons which are called Brauer configurations. In this paper the whole path from the combinatorial object to the presentation of the algebraic structure is presented. algebraic structure, we also study some interesting properties of these algebras among which we highlight the formula for calculating the dimension of the algebraic structure. the formula to calculate the dimension of these algebras and the dimension of their center in terms of combinatorial objects. in terms of combinatorial objects. For this purpose, particular examples are developed to illustrate the basic concepts illustrate the basic concepts and are related to recent research.