Verma modules over Virasoro-like algebras

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	Verma modules over Virasoro-like algebras
	Wang, XD ; Zhao, KM
	2006-04-01
发表期刊	JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
ISSN	1446-7887
卷号	80 页码:179-191
摘要	Let K be a field of characteristic 0, G the direct sum of two copies of the additive group of integers. For a total order < on G, which is compatible with the addition, and for any (c) over dot(1), (c) over dot(2) is an element of K, we define G-graded highest weight modules M((c) over dot(1), (c) over dot(2), <) over the Virasoro-like algebra (L) over tilde, indexed by G. It is natural to call them Verma modules. In the present paper, the irreducibility of M((c) over dot(1), (c) over dot(2), <) is completely determined and the structure of reducible module M((c) over dot(1), (c) over dot(2), <) is also described.
关键词	Virasoro-like algebra Verma module
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000237907600004
出版者	AUSTRALIAN MATHEMATICS PUBL ASSOC 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/3558
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, XD
作者单位	1.Qingdao Univ, Dept Math, Qingdao 266071, Peoples R China 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, XD,Zhao, KM. Verma modules over Virasoro-like algebras[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY,2006,80:179-191.
APA	Wang, XD,&Zhao, KM.(2006).Verma modules over Virasoro-like algebras.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY,80,179-191.
MLA	Wang, XD,et al."Verma modules over Virasoro-like algebras".JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 80(2006):179-191.