A $\tau$-tilting approach to the first Brauer-Thrall conjecture
Representation Theory
2020-06-09 v3 Rings and Algebras
Abstract
In this paper we study the behaviour of modules over finite dimensional algebras whose endomorphism algebra is a division ring. We show that there are finitely many such modules in the module category of an algebra if and only if the length of all such modules is bounded.
Keywords
Cite
@article{arxiv.2004.14221,
title = {A $\tau$-tilting approach to the first Brauer-Thrall conjecture},
author = {Sibylle Schroll and Hipolito Treffinger},
journal= {arXiv preprint arXiv:2004.14221},
year = {2020}
}
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