$A_\infty$-deformations of zigzag algebras via Ginzburg dg algebras

التفاصيل البيبلوغرافية
العنوان: $A_\infty$-deformations of zigzag algebras via Ginzburg dg algebras
المؤلفون: Liu, Junyang, Wang, Zhengfang
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Representation Theory, Mathematics - Quantum Algebra, Mathematics - Symplectic Geometry, 16E05, 13D03, 16G20, 16E60
الوصف: This note aims to give a short proof of the recent result due to Etg\"u-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.
Comment: 7 pages; v2: many minor changes
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2301.06757
رقم الأكسشن: edsarx.2301.06757
قاعدة البيانات: arXiv