Supports of weight modules over Witt algebras

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	Supports of weight modules over Witt algebras
	Mazorchuk, Volodymyr 1; Zhao, Kaiming 2,3
	2011
发表期刊	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN	0308-2105
卷号	141 页码:155-170
摘要	As the first step towards a classification of simple weight modules with finite dimensional weight spaces over Witt algebras W(n), we explicitly describe the supports of such modules. We also obtain some descriptions of the support of an arbitrary simple weight module over a Z(n)-graded Lie algebra g having a root space decomposition circle plus(n)(a is an element of Z) g(alpha) with respect to the abelian subalgebra go, with the property [g(alpha), g(beta)] = g(alpha+beta) for all alpha,beta is an element of Z(n), a not equal beta (this class contains the algebra W(n)).
语种	英语
资助项目	Wilfrid Laurier University ; Swedish Research Council ; NSERC ; NSF of China[10871192]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000287840400009
出版者	ROYAL SOC EDINBURGH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11927
专题	中国科学院数学与系统科学研究院
通讯作者	Mazorchuk, Volodymyr
作者单位	1.Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Mazorchuk, Volodymyr,Zhao, Kaiming. Supports of weight modules over Witt algebras[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2011,141:155-170.
APA	Mazorchuk, Volodymyr,&Zhao, Kaiming.(2011).Supports of weight modules over Witt algebras.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,141,155-170.
MLA	Mazorchuk, Volodymyr,et al."Supports of weight modules over Witt algebras".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 141(2011):155-170.