English

Classification of silted algebras for two quivers of Dynkin type $\mathbb{A}_{n}$

Representation Theory 2025-04-22 v1 Combinatorics

Abstract

In this paper, we give a complete classification of silted algebras for the quiver An\overrightarrow{\mathbb{A}}_{n} of type An\mathbb{A}_{n} with linear orientation and for the quiver obtained from An\overrightarrow{\mathbb{A}}_{n} by reversing the arrow at the unique source. Based on the classification, we also compute the number of silted algebras for these two quivers.

Keywords

Cite

@article{arxiv.2504.14789,
  title  = {Classification of silted algebras for two quivers of Dynkin type $\mathbb{A}_{n}$},
  author = {Zongzhen Xie and Dong Yang and Houjun Zhang},
  journal= {arXiv preprint arXiv:2504.14789},
  year   = {2025}
}