Abstract
We show that an L∞-algebra can be extended to a graded Hopf algebra with a codifferential. Then, we twist this extended L∞-algebra with a Drinfel’d twist, simultaneously twisting its modules. Taking the L∞-algebra as its own (Hopf) module, we obtain the recently proposed braided L∞-algebra. The Hopf algebra morphisms are identified with the strict L∞-morphisms, whereas the braided L∞-morphisms define a more general L∞-action of twisted L∞-algebras.
Funder
Croatian Science Foundation
Subject
General Physics and Astronomy
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Noncommutative double geometry;Physical Review D;2024-02-21
2. Generalized symmetries as homotopy Lie algebras;The European Physical Journal Special Topics;2023-04-26
3. Braided symmetries in noncommutative field theory;Journal of Physics A: Mathematical and Theoretical;2022-08-09