Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear realisations of Lie superalgebras   For any decomposition of a Lie superalgebra $\mathcal G$ into a direct sum
$\mathcal G=\mathcal H\oplus\mathcal E$ of a subalgebra $\mathcal H$ and a
subspace $\mathcal E$, without any further resctrictions on $\mathcal H$ and
$\mathcal E$, we construct a nonlinear realisation of $\mathcal G$ on $\mathcal
E$. The result generalises a theorem by Kantor from Lie algebras to Lie
superalgebras. When $\mathcal G$ is a differential graded Lie algebra, we show
that it gives a construction of an associated $L_\infty$-algebra.

37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org