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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,
bahturin@mun.ca
Georgia Benkart
Department of Mathematics,
University of Wisconsin,
Madison, WI 53706,
U.S.A.,
benkart@math.wisc.edu
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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