About UMP algebras and a special classification case
Representation Theory
2025-08-21 v3
Abstract
The class of UMP algebras arises in several classification problems in the context of derived categories of finite-dimensional algebras. In this paper we define the class of UMP algebras and develop algebraic combinatorics tools in order to present a characterization of this class of algebras which are locally monomial (see Definition 4.1) and special multiserial algebras. Among other things, we describe the ramifications graph of symmetric special biserial algebras and we classify which of them are UMP algebras in terms of their bound quivers and their associated Brauer graphs.
Cite
@article{arxiv.2309.11624,
title = {About UMP algebras and a special classification case},
author = {Jhony F. Caranguay-Mainguez and Andrés Franco and David Reynoso-Mercado and Pedro Rizzo},
journal= {arXiv preprint arXiv:2309.11624},
year = {2025}
}
Comments
23 pages, Section 5-1 included, new author added