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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 BC1 and determine their central extensions, derivations, and invariant forms. [ Fulltext-pdf (356 KB)] for subscribers only. |