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

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

1999-11-27

arxiv.org/abs/math/9911221v1

Mathematics

Quantum Algebra

34pages, Latex; To appear in Journal of Algebra

Scientific paper

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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