학술논문
Maurer-Cartan equation for gentle algebras
Document Type
Working Paper
Source
Subject
Language
Abstract
Let $A= \Bbbk Q/I$ be a finite-dimensional gentle algebra. In this article, under some hypothesis on the quiver $Q$, we give conditions for nilpotency of the $L_\infty$-structure on the shifted Bardzell's complex $B(A)[1]$. For nilpotent cases, we describe Maurer-Cartan elements.
Comment: 26 pages
Comment: 26 pages