There are no strictly shod algebras in hereditary gentle algebras

2022/12/18 by Zhang, Houjun, Liu, Yu-Zhe · 2 citations
#05E10 #16E45 #16G10 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2212.09105

Abstract

We prove that there are no strictly shod algebras in hereditary gentle algebras by geometric models. As an application, we give a classification of the silted algebras for Dynkin type \mathbbA_n and \widetilde\mathbbA_n.

Cited by

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

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