$A_\infty$-通过Ginzburg dg代数的之字形代数形变
$A_\infty$-deformations of zigzag algebras via Ginzburg dg algebras
AI总结：
本文给出有限树之字形代数内在形式性判定的简短证明，并补全任意特征域上E型情况的证明。
摘要：
本文旨在给出Etgü-Lekili（2017）和Lekili-Ueda（2021）近期结果的简短证明：在特征为0的域上，任意有限树的之字形代数是内在形式的当且仅当该树为ADE型。我们还通过考虑特征任意的域上E型的情况，补全了该结果的证明，此情况此前仍未解决。
英文摘要：
This note aims to give a short proof of the recent result due to Etgü-Lekili (2017) and Lekili-Ueda (2021): the zigzag algebra of any finite tree over a field of characteristic 0 is intrinsically formal if and only if the tree is of type ADE. We also complete the proof of this result by considering a field of arbitrary characteristic for type E, which was still open.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
