English

Maurer-Cartan equation for gentle algebras

Rings and Algebras 2023-09-07 v1

Abstract

Let A=kQ/IA= \Bbbk Q/I be a finite-dimensional gentle algebra. In this article, under some hypothesis on the quiver QQ, we give conditions for nilpotency of the LL_\infty-structure on the shifted Bardzell's complex B(A)[1]B(A)[1]. For nilpotent cases, we describe Maurer-Cartan elements.

Keywords

Cite

@article{arxiv.2309.02582,
  title  = {Maurer-Cartan equation for gentle algebras},
  author = {Monique Müller and María Julia Redondo and Fiorela Rossi Bertone and Pamela Suarez},
  journal= {arXiv preprint arXiv:2309.02582},
  year   = {2023}
}

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26 pages