Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real adjoint orbits of special linear groups   Let $ G $ be a Lie group with Lie algebra $ \mathfrak{g} $. An element $ X
\in \mathfrak{g} $ is called $\mathrm{Ad}_G$-real if $ -X=gXg^{-1} $ for some $
g \in G $. Moreover, if $ -X=gXg^{-1} $ holds for some involution $ g\in G $,
then $ X $ is called strongly $\mathrm{Ad}_G$-real. We have classified the
$\mathrm{Ad}_G$-real and the strongly $\mathrm{Ad}_G$-real orbits in the
special linear Lie algebra $\mathfrak{sl}(n,\mathbb{F}) $ for $
\mathbb{F}=\mathbb{C}$ or $\mathbb{H} $.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol