Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A convenient category of supermanifolds   With a view towards applications in the theory of infinite-dimensional
representations of finite-dimensional Lie supergroups, we introduce a new
category of supermanifolds. In this category, supermanifolds of `maps' and
`fields' (fibre bundle sections) exist. In particular, loop supergroups can be
realised globally in this framework. It also provides a convenient setting for
induced representations of supergroups, allowing for a version of Frobenius
reciprocity. Finally, convolution algebras of finite-dimensional Lie
supergroups are introduced and applied to a prove a supergroup
Dixmier-Malliavin Theorem: The space of smooth vectors of a continuous
representation of a supergroup pair equals the Garding space given by the
convolution with compactly supported smooth supergroup densities.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
16
The categories of this paper are: stat