数学杂志2012，Vol.32Issue(3)：487-498,12.
完备Leibniz代数的性质及其低维分类
PROPERTIES OF COMPLETE LEIBNIZ ALGEBRAS AND THEIR CLASSIFICATION OF LOW DIMENSIONS
摘要
Abstract
In this paper we study the properties of complete Leibniz algebras and their classification of low dimensions. By using the two-sided ideals which are generated by square elements, we obtain complete classification of complete Leibniz algebras of dimension less than five. We also obtain the classification of the special case of five-dimensional complete Leibniz algebras. All these results develop the construction theory of Leibniz algebras.关键词
Leibniz代数/完备李代数/完备Leibniz代数Key words
Leibniz algebras/ complete Lie algebras/ complete Leibniz algebras分类
数理科学引用本文复制引用
曾阳,林磊..完备Leibniz代数的性质及其低维分类[J].数学杂志,2012,32(3):487-498,12.基金项目
长江学者和创新团队发展计划(PCSIRT) （PCSIRT）
上海重点学科项目. （）
