Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Globalizations of infinitesimal actions on supermanifolds   Let $\mathcal G$ be a Lie supergroup with Lie superalgebra $\mathfrak g$,
$\mathcal M$ a supermanifold and $\mathrm{Vec}(\mathcal M)$ the set of vector
fields on $\mathcal M$. Let $\lambda:\mathfrak g\rightarrow
\mathrm{Vec}(\mathcal M)$ be an infinitesimal action, i.e. a homomorphism of
Lie superalgebras.
  We show the existence of a local $\mathcal G$-action on $\mathcal M$ inducing
the infinitesimal action $\lambda$ and find necessary and sufficient conditions
for the existence of a globalization in the sense of Palais.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio