数学杂志2009，Vol.29Issue(3)：247-252,6.
可换环上辛代数与一般线性李代数之间的中间李代数
INTERMEDIATE LIE ALGEBRAS BETWEEN THE SYMPLECTIC ALGEBRAS AND THE GENERAL LINEAR LIE ALGEBRAS OVER COMMUTATIVE RINGS
赵延霞 1王登银 1王春花1
作者信息
- 1. 中国矿业大学数学系,江苏徐州,221008
- 折叠
摘要
Abstract
In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings. By constructing some special matrices and calculating, we obtain the forms of all intermediate Lie algebras between the symplectic algebras and the general linear Lie algebras over an arbitrary commutative rings with identity. This result will be helpful for us to know the subgroup structure of corresponding classical groups over commutative rings.关键词
一般线性李代数/辛代数/中间李代数/可换环Key words
general linear Lie algebras/ symplectic algebras/ intermediate Lie algebras/ commutative rings分类
数理科学引用本文复制引用
赵延霞,王登银,王春花..可换环上辛代数与一般线性李代数之间的中间李代数[J].数学杂志,2009,29(3):247-252,6.
