Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inner derivations of exceptional Lie algebras in prime characteristic   It is well-known that every derivation of a semisimple Lie algebra $L$ over
an algebraically closed field $F$ with characteristic zero is inner. The aim of
this paper is to show what happens if the characteristic of $F$ is prime with
$L$ an exceptional Lie algebra. We prove that if $L$ is a Chevalley Lie algebra
of type $\{G_2,F_4,E_6,E_7,E_8\}$ over a field of characteristic $p$ then the
derivations of $L$ are inner except in the cases $G_2$ with $p=2$, $E_6$ with
$p=3$ and $E_7$ with $p=2$.

34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int