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Start Over Author "Susan Montgomery" Topic divisibility groups
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1. Group gradings on simple Lie algebras in positive characteristic.

Author

Yuri Bahturin, Mikhail Kochetov, and Susan Montgomery

Subjects
LIE algebras, ABELIAN groups, FINITE groups, ALGEBRAIC fields, DIVISIBILITY groups, MATHEMATICS
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 $pneq 2$: $mathfrak {sl}_n(F)$ ($n$ not divisible by $p$), $mathfrak {so}_n(F)$ ($ngeq 5$, $nneq 8$) and $mathfrak {sp}_n(F)$ ($ngeq 6$, $n$ even). [ABSTRACT FROM AUTHOR]

Published
2008
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