Tilting preserves finite global dimension

2019/11/26 by Keller, Bernhard, Krause, Henning · 2 citations
#18E20 (secondary) #18G80 (primary) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1911.11749

Abstract

Given a tilting object of the derived category of an abelian category of finite global dimension, we give (under suitable finiteness conditions) a bound for the global dimension of its endomorphism ring.

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