Endomorphism algebras of 2-term silting complexes

2016/05/30 by Buan, Aslak Bakke, Zhou, Yu · 1 citation
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1605.09255

Abstract

We study possible values of the global dimension of endomorphism algebras of 2-term silting complexes. We show that for any algebra A whose global dimension \mathop\rm gl. dim\nolimits A≤ 2 and any 2-term silting complex P in the bounded derived category D^b(A) of A, the global dimension of \mathop\rm End\nolimits_D^b(A)(P) is at most 7. We also show that for each n>2, there is an algebra A with \mathop\rm gl. dim\nolimits A=n such that D^b(A) admits a 2-term silting complex P with \mathop\rm gl. dim\nolimits \mathop\rm End\nolimits_D^b(A)(P) infinite.

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• Classification of silted algebras for two quivers of Dynkin type \mathbbD_n

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