On the number of tilting modules over a class of Auslander algebras

2022/05/24 by Chen, Dan, Zhang, Xiaojin · 1 citation
#16E10 #16G10 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2205.12409

Abstract

Let Λ be a radical square zero algebra of a Dynkin quiver and let Γ be the Auslander algebra of Λ. Then the number of tilting right Γ-modules is 2^m-1 if Λ is of A_m type for m≥ 1. Otherwise, the number of tilting right Γ-modules is 2^m-3×14 if Λ is either of D_m type for m≥ 4 or of E_m type for m=6,7,8.

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