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Journal of Lie Theory 14 (2004), No. 1, 243--270
Copyright Heldermann Verlag 2004

Some Constructions in the Theory of Locally Finite Simple Lie Algebras

Yuri Bahturin
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF, Canada A1C 5S7,

Georgia Benkart
Department of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A.,

Some locally finite simple Lie algebras are graded by finite (possibly nonreduced) root systems. Many more algebras are sufficiently close to being root graded that they still can be handled by the techniques from that area. In this paper we single out such Lie algebras, describe them, and suggest some applications of such descriptions.

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