
Journal of Lie Theory 16 (2006), No. 4, 719742 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 [ Fulltextpdf (260 KB)] for subscribers only. 