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

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

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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.

作者 LU CaiHui ZHANG HaiShan

机构地区 School of Mathematical Sciences

出处《Science China Mathematics》 SCIE 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)

关键词 nilpotent Lie algebra solvable Lie algebra Kac-Moody algebra KAC-Moody代数可解李代数代数同构非退化基础代数和极大

分类号 O152.5 [理学—基础数学] O177.1 [理学—基础数学]

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Science China Mathematics

2013年第5期

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

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