Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposition of spinor groups by the involution {\sigma}' in
  exceptional Lie groups   The compact exceptional Lie groups F4, E6, E7 and E8 have spinor groups as a
subgroup as follows: E8 \supset Ss(16) \supset Spin(15) \supset Spin(14)
\supset Spin(13), E7 \supset Spin(12) \supset Spin(11), E6 \supset Spin(10), F4
\supset Spin(9) \supset Spin(8) \supset Spin(7) \supset \cdot \cdot \cdot
\supset Spin(1) \ni 1. We know the involution {\sigma}' induced an element
{\sigma}' \in Spin(8) \subset F4 \subset E6 \subset E7 \subset E8. Now, in this
paper, we determine the group structures of (Spin(n)){\sigma}' which are the
fixed subgroups by the involution {\sigma}'.

18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin