New generalized simple Lie algebras of Cartan type over a field with charcteristic 0
Quantum Algebra
2007-05-23 v1
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.''
Keywords
Cite
@article{arxiv.math/9911221,
title = {New generalized simple Lie algebras of Cartan type over a field with charcteristic 0},
author = {Xiaoping Xu},
journal= {arXiv preprint arXiv:math/9911221},
year = {2007}
}
Comments
34pages, Latex; To appear in Journal of Algebra