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Journal of Lie Theory 17 (2007), No. 4, 709--729
Copyright Heldermann Verlag 2007

On the L0-Module Structure for the Generalized Witt Algebra and the Special Lie Algebra

Chaowen Zhang
Department of Mathematics, University of Mining and Technology, Xu Zhou 221008, P. R. China

For n > 1, the L0-module structure of the restricted simple Lie algebra W(n, 1) and S(n, 1) is determined completely.

Keywords: Witt algebras, special Lie algebras, maximal vectors, simple modules.

MSC: 17B50

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