A representation embedding for algebras of infinite type
Representation Theory
2024-06-24 v2
Abstract
We show that for any finite-dimensional algebra of infinite representation type, over a perfect field, there is a bounded principal ideal domain and a representation embedding from mod into mod. As an application, we prove a variation of the Brauer-Trall Conjecture II: finite-dimensional algebras of infinite-representation type admit infinite families of non-isomorphic finite-dimensional indecomposables with fixed endolength, for infinitely many endolengths.
Keywords
Cite
@article{arxiv.2406.03370,
title = {A representation embedding for algebras of infinite type},
author = {Raymundo Bautista Ramos and Jesús Efrén Pérez Terrazas and Leonardo Salmerón Castro},
journal= {arXiv preprint arXiv:2406.03370},
year = {2024}
}