Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fr\'echet globalisations of Harish-Chandra supermodules   For any Lie supergroup whose underlying Lie group is reductive, we prove an
extension of the Casselman-Wallach globalisation theorem: There is an
equivalence between the category of Harish-Chandra modules and the category of
SF-representations (smooth Fr\'echet representations of moderate growth) whose
module of finite vectors is Harish-Chandra. As an application, we extend to Lie
supergroups a general general form of the Gel'fand-Kazhdan criterion due to
Sun-Zhu.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg