Rigid integral representations of quivers over arbitrary commutative rings

2023/01/12 by Crawley-Boevey, William · 2 citations
#13C10 (Secondary) #16G20 (Primary) #16G30 #16H20 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2301.04941

Abstract

In earlier work, the author classified rigid representations of a quiver by finitely generated free modules over a principal ideal ring. Here we extend the results to representations of a quiver by finitely generated projective modules over an arbitrary commutative ring.

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• The Balmer spectrum and tensor telescope conjecture for noetherian path algebras
• Telescope conjecture for quiver representations over artinian rings

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