华东师范大学学报(自然科学版)Issue(1):21-24,4.
gl∞(C)的导子代数
The Derivation Algebra of gl∞(C)
摘要
Abstract
In this paper, it is proved that the derivation algebra of the Lie algebra of infinite matrices with finite nonzero entries is isomorphic to the quotient of the Lie algebra of infinite matrices with finite nonzero entries in each row and in each column nodulo its center. It is also proved that this quotient is a complete Lie algebra.关键词
导子/导子代数/李代数Key words
derivation/derivation algebra/Lie algebra分类
数理科学引用本文复制引用
夏利猛,杨恒云,林磊..gl∞(C)的导子代数[J].华东师范大学学报(自然科学版),2003,(1):21-24,4.基金项目
国家自然科学基金(10271047),教育部博士点基金和上海市重点学科建设项目 (10271047)