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Journal of Lie Theory 13 (2003), No. 1, 091--132
Copyright Heldermann Verlag 2003

Lie Algebras Graded by the Root System BC1

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

Oleg Smirnov
Dept. of Mathematics, College of Charleston, Charleston, SC 29424, U.S.A.

We classify the Lie algebras that are graded by the nonreduced root system  BC and determine their central extensions, derivations, and invariant forms.

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