Group gradings on simple Lie algebras in positive characteristic

Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan

doi:10.1090/S0002-9939-08-09634-2

Group gradings on simple Lie algebras in positive characteristic
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by Yuri Bahturin, Mikhail Kochetov and Susan Montgomery PDF

Proc. Amer. Math. Soc. 137 (2009), 1245-1254 Request permission

Abstract:

In this paper we describe all gradings by a finite abelian group $G$ on the following Lie algebras over an algebraically closed field $F$ of characteristic $p\neq 2$: $\mathfrak {sl}_n(F)$ ($n$ not divisible by $p$), $\mathfrak {so}_n(F)$ ($n\geq 5$, $n\neq 8$) and $\mathfrak {sp}_n(F)$ ($n\geq 6$, $n$ even).

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