论文标题
从Hopf代数到编织$ L_ \ infty $ -Algebra
From Hopf algebra to braided $L_\infty$-algebra
论文作者
论文摘要
我们表明，$ l_ \ infty $ -Algebra可以将其扩展到带有编码的分级Hopf代数。然后，我们将此扩展的$ l_ \ infty $ - 代数带有drinfel'd扭曲，同时扭曲了其模块。以$ l_ \ infty $ -Algebra为其（HOPF）模块，我们获得了最近提议的编织$ L_ \ infty $ -Algebra。 HOPF代数形态是用严格的$ L_ \ infty $ -MORPHISS鉴定的，而编织的$ L_ \ Infty $ -Morphisms定义了更通用的$ L_ \ infty $ - 扭曲的$ l_ \ l_ \ l_ \ infty $ - infty $ - 代理$ -Algebras。
We show that an $L_\infty$-algebra can be extended to a graded Hopf algebra with a codifferential. Then we twist this extended $L_\infty$-algebra with a Drinfel'd twist, simultaneously twisting its modules. Taking the $L_\infty$-algebra as its own (Hopf) module, we obtain the recently proposed braided $L_\infty$-algebra. The Hopf algebra morphisms are identified with the strict $L_\infty$-morphisms, while the braided $L_\infty$-morphisms define a more general $L_\infty$-action of twisted $L_\infty$-algebras.
