τ -tilting theory – An introduction

The notion of$\tau$ -tilting theory was introduced by Adachi, Iyama and Reiten at the beginning of the last decade and quickly became one of the most active areas of research in the representation theory of finite dimensional algebras. The aim of these notes is two-fold. On the one hand, we want to...

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Bibliographic Details
Main Author Treffinger, Hipolito
Format Journal Article
LanguageEnglish
Published 01.06.2021
Subjects
Mathematics - Representation Theory
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DOI10.48550/arxiv.2106.00426

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Summary:The notion of$\tau$ -tilting theory was introduced by Adachi, Iyama and Reiten at the beginning of the last decade and quickly became one of the most active areas of research in the representation theory of finite dimensional algebras. The aim of these notes is two-fold. On the one hand, we want to give a friendly introduction to$\tau$ -tilting theory to anyone with a small background in representation theory. On the other, we want to fill the apparent gap for a survey on the subject by collecting in one place many of the most important results in$\tau$ -tilting theory.
DOI:10.48550/arxiv.2106.00426