Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On equivariant bijections relative to the defining characteristic   This paper is a contribution to the general program introduced by Isaacs,
Malle and Navarro to prove the McKay conjecture in the representation theory of
finite groups. We develop new methods for dealing with simple groups of Lie
type in the defining characteristic case. Using a general argument based on the
representation theory of connected reductive groups with disconnected center,
we show that the inductive McKay condition holds if the Schur multiplier of the
simple group has order 2. As a consequence, the simple groups \Orth_{2m+1}(p^n)
and PSp_{2m}(p^n) are "good" for p>2 and the simple groups E_7(p^n) are
``good'' for p>3 in the sense of Isaacs, Malle and Navarro. We also describe
the action of the diagonal and field automorphisms on the semisimple and the
regular characters.

33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg