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Derived dimension via τ-tilting theory

2020/05/16 by Yingying Zhang, Zhang, Yingying
Mathematics · #16G10 #18E30 #2010: 16E10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2005.07915

openalex publication_date 2020/05/16 · openalex created_date 2020/05/21 · openalex updated_date 2026/07/28

Abstract

Comparing the bounded derived categories of an algebra and of the endomorphism algebra of a given support τ-tilting module, we find a relation between the derived dimensions of an algebra and of the endomorphism algebra of a given τ-tilting module.

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