Invariance of generalised Reynolds ideals under derived equivalences

2005/09/24 by Alexander Zimmermann, Zimmermann, Alexander
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #math.RA #math.RT #msc:16E40 #msc:18E30 #msc:20C05

paper · pdf · doi:10.48550/arxiv.math/0509580

arxiv created 2006/03/29 · arxiv updated 2009/12/01

Abstract

For any algebraically closed field k of positive characteristic p and any non negative integer n Külshammer defined ideals T_nA^⊥ of the centre of a symmetric k-algebra A. We show that for derived equivalent algebras A and B there is an isomorphism of the centres of A and B mapping T_nA^⊥ to T_nB^⊥ for all n. Recently Héthelyi, Horváth, Külshammer and Murray showed that this holds for Morita equivalent algebras.

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