Infinite dimensional Lie algebras of type L

doi:10.1081/AGB-120019006

CSpace

	Infinite dimensional Lie algebras of type L
	Osborn, JM ; Zhao, KM
	2003
发表期刊	COMMUNICATIONS IN ALGEBRA
ISSN	0092-7872
卷号	31 期号:5 页码:2445-2469
摘要	In this paper, a class of infinite dimensional Lie algebras L(A, delta, alpha) over a field of characteristic 0 are studied. These Lie algebras, which we call here Lie algebras of type L, arose as one subclass in the recent classification of generalized Block algebras. We exhibit a large subclass of these algebras which are simple, as well as another subclass of these algebras which are never simple. For n > 1, simple Lie algebras of type L do not occur in any other known class of simple Lie algebras. In particular, for n > 1, these algebras have no toral elements. Simplicity in these algebras is equivalent to simplicity of an appropriate subalgebra. The notion of transitive ideal plays an important role in this theory.
关键词	cartan type Lie algebras Lie algebras of type L simple Lie algebras torus transitive ideal
DOI	10.1081/AGB-120019006
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000183015100023
出版者	MARCEL DEKKER INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18975
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, KM
作者单位	1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Univ Wisconsin, Dept Math, Madison, WI 53706 USA
推荐引用方式 GB/T 7714	Osborn, JM,Zhao, KM. Infinite dimensional Lie algebras of type L[J]. COMMUNICATIONS IN ALGEBRA,2003,31(5):2445-2469.
APA	Osborn, JM,&Zhao, KM.(2003).Infinite dimensional Lie algebras of type L.COMMUNICATIONS IN ALGEBRA,31(5),2445-2469.
MLA	Osborn, JM,et al."Infinite dimensional Lie algebras of type L".COMMUNICATIONS IN ALGEBRA 31.5(2003):2445-2469.