New generalized simple Lie algebras of Cartan type over a field with charcteristic 0
arXiv:math/9911221
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.''
34pages, Latex; To appear in Journal of Algebra