Weight modules over exp-polynomial Lie algebras

doi:10.1016/j.jpaa.2003.12.004

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	Weight modules over exp-polynomial Lie algebras
	Billig, Y ; Zhao, KM
	2004-07-01
发表期刊	JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN	0022-4049
卷号	191 期号:1-2 页码:23-42
摘要	In this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module with an exp-polynomial "highest weight" over an exp-polynomial Lie algebra has finite dimensional weight spaces. We also get a class of irreducible weight modules with finite dimensional weight spaces over generalized Virasoro algebras which do not occur over the classical Virasoro algebra. (C) 2004 Elsevier B.V. All rights reserved.
DOI	10.1016/j.jpaa.2003.12.004
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000221007300002
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19586
专题	中国科学院数学与系统科学研究院
通讯作者	Billig, Y
作者单位	1.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 3.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
推荐引用方式 GB/T 7714	Billig, Y,Zhao, KM. Weight modules over exp-polynomial Lie algebras[J]. JOURNAL OF PURE AND APPLIED ALGEBRA,2004,191(1-2):23-42.
APA	Billig, Y,&Zhao, KM.(2004).Weight modules over exp-polynomial Lie algebras.JOURNAL OF PURE AND APPLIED ALGEBRA,191(1-2),23-42.
MLA	Billig, Y,et al."Weight modules over exp-polynomial Lie algebras".JOURNAL OF PURE AND APPLIED ALGEBRA 191.1-2(2004):23-42.