Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A modular analogue of Morozov's theorem on maximal subalgebras of simple
  Lie algebras   Let $G$ be a simple algebraic group over an algebraically closed field of
characteristic $p>0$ and suppose that $p$ is a very good prime for $G$. We
prove that any maximal Lie subalgebra $M$ of $\mathfrak{g} = {\rm Lie}(G)$ with
${\rm rad}(M) \ne 0$ has the form $M = {\rm Lie}(P)$ for some maximal parabolic
subgroup $P$ of $G$. We show that the assumption on $p$ is necessary by
providing a counterexample for groups type ${\rm E}_8$ over fields of
characteristic $5$. Our arguments rely on the main results and methods of the
classification theory of finite dimensional simple Lie algebras over fields
prime characteristic.

6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an