Infinite-dimensional Lie algebras of generalized Block type

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	Infinite-dimensional Lie algebras of generalized Block type
	Osborn, JM ; Zhao, KM
	1999-06-01
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	127 期号:6 页码:1641-1650
摘要	This paper investigates a class of infinite-dimensional Lie algebras over a field of characteristic 0 which are called here Lie algebras of generalized Block type, and which generalize a class of Lie algebras originally defined by Richard Block. Under certain natural restrictions, this class of Lie algebras is shown to break into five subclasses. One of these subclasses contains all generalized Cartan type K Lie algebras and some Lie algebras of generalized Cartan type H, and a second one is the class of Lie algebras of type L, which were previously defined and studied elsewhere by the authors. The other three types are hybrids of the first two types, and are new.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000079742800010
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14742
专题	中国科学院数学与系统科学研究院
通讯作者	Osborn, JM
作者单位	1.Univ Wisconsin, Dept Math, Madison, WI 53706 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Osborn, JM,Zhao, KM. Infinite-dimensional Lie algebras of generalized Block type[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,1999,127(6):1641-1650.
APA	Osborn, JM,&Zhao, KM.(1999).Infinite-dimensional Lie algebras of generalized Block type.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,127(6),1641-1650.
MLA	Osborn, JM,et al."Infinite-dimensional Lie algebras of generalized Block type".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 127.6(1999):1641-1650.