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arXiv · 2406.03370

A representation embedding for algebras of infinite type

Raymundo Bautista Ramos·Jesús Efrén Pérez Terrazas·Leonardo Salmerón Castro
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Abstract

We show that for any finite-dimensional algebra $Λ$ of infinite representation type, over a perfect field, there is a bounded principal ideal domain $Γ$ and a representation embedding from $Γ-$mod into $Λ-$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.

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Raymundo Bautista Ramos, Jesús Efrén Pérez Terrazas, Leonardo Salmerón Castro. 2024-06-20. A representation embedding for algebras of infinite type. https://arxiv.org/abs/2406.03370

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