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  • 2 - τ-tilting Theory – an Introduction

  • Edited by David Jordan, University of Edinburgh, Nadia Mazza, Lancaster University, Sibylle Schroll, Universität zu Köln
  • Book:
    Modern Trends in Algebra and Representation Theory
    Published online:
    25 November 2023
    Print publication:
    17 August 2023, pp 46-108

  • Summary

    The notion of τ-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 τ-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 τ-tilting theory.