Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Integrability Criterion for Banach-Lie Triple Systems   To give a criterion for the integrability of Banach-Lie triple systems, we
follow the construction of the period group of a Lie algebra and define the
period group of a Lie triple system as an analogous concept. We show that a Lie
triple system is integrable if and only if its period group is discrete. Along
the way, we see how to turn the path and the loop space of a pointed symmetric
space into pointed symmetric spaces.

32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph