The isomorphic realization of nondegenerate solvable Lie algebras of maximal rank based on Kac-Moody algebras  

作　　者：LU CaiHui ZHANG HaiShan 

机构地区：[1]School of Mathematical Sciences,Capital Normal University

出　　处：《Science China Mathematics》2013年第5期995-1014,共20页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11071147)

摘　　要：In this paper,based on Kac-Moody algebra,the isomorphic realization of nondegenerate solvable Lie algebras of maximal rank is given,which in turn revels the closed connections between nondegenerate solvable Lie algebras and Kac-Moody algebras,resulting in some new worthy topics in this area.In this paper, based on Kac-Moody algebra, the isomorphic realization of nondegenerate solvable Lie algebras of maximal rank is given, which in turn revels the closed connections between nondegenerate solvable Lie algebras and Kac-Moody algebras, resulting in some new worthy topics in this area.

关 键 词：nilpotent Lie algebra solvable Lie algebra Kac-Moody algebra 

分 类 号：O152.5[理学—数学] O177.1[理学—基础数学]