Journal of Lie Theory 16 (2006), No. 4, 719--742
Copyright Heldermann Verlag 2006
Group Gradings on Simple Lie Algebras of Type "A"
Yuri A. Bahturin
Dept. of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, Canada, A1C5S7
and: Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, Russia
yuri@math.mun.ca
Mikhail V. Zaicev
Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, Russia
zaicev@mech.math.msu.su
We describe all group gradings by a finite abelian group G of any Lie algebra L of the type "A" over an algebraically closed field F of characteristic zero.
Keywords: Lie algebras, graded algebras, involutions.
MSC: 17B20, 17B40, 16W10, 16W50
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