Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Dimension Formula for Twisted Spherical Conjugacy Classes in
  Semisimple Algebraic Groups   Let $G$ be a connected semisimple algebraic group over an algebraically
closed field of characteristic zero, and let $\th$ be an automorphism of $G$.
We give a characterization of $\th$-twisted spherical conjugacy classes in $G$
by a formula for their dimensions in terms of certain elements in the Weyl
group of $G$, generalizing a result of N. Cantarini, G. Carnovale, and M.
Costantini when $\th$ is the identity automorphism. For $G$ simple and $\th$ an
outer automorphism of $G$, we also classify the Weyl group elements that appear
in the dimension formula.

35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg