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New generalized simple Lie algebras of Cartan type over a field with charcteristic 0

Xiaoping Xu
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Abstract

We construct four new series of generalized simple Lie algebras of Cartan type, using the mixtures of grading operators and down-grading operators. Our results in this paper are further generalizations of those in Osborn's work ``New simple infinite-dimensional Lie algebras of characteristic 0.''

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Xiaoping Xu. 1999-11-27. New generalized simple Lie algebras of Cartan type over a field with charcteristic 0. https://arxiv.org/abs/math/9911221

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