Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brauer configuration algebras: A generalization of Brauer graph algebras   In this paper we introduce a generalization of a Brauer graph algebra which
we call a Brauer configuration algebra. As with Brauer graphs and Brauer graph
algebras, to each Brauer configuration, there is an associated Brauer
configuration algebra. We show that Brauer configuration algebras are finite
dimensional symmetric algebras. After studying and analysing structural
properties of Brauer configurations and Brauer configuration algebras, we show
that a Brauer configuration algebra is multiserial; that is, its Jacobson
radical is a sum of uniserial modules whose pairwise intersection is either
zero or a simple module. The paper ends with a detailed study of the
relationship between radical cubed zero Brauer configuration algebras,
symmetric matrices with non-negative integer entries, finite graphs and
associated symmetric radical cubed zero algebras.

10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess