Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Hopf algebra to braided $L_\infty$-algebra   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.

24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ