Simple Singular Whittaker Modules Over the Schrodinger Algebra

doi:10.1007/s40304-019-00180-9

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	Simple Singular Whittaker Modules Over the Schrodinger Algebra
	Cai, Yan-an 1,2; Zhang, Xiufu 3
	2019-12-01
发表期刊	COMMUNICATIONS IN MATHEMATICS AND STATISTICS
ISSN	2194-6701
卷号	7 期号:4 页码:475-483
摘要	There are no simple singular Whittaker modules over most of important algebras, such as simple complex finite-dimensional Lie algebras, affine Kac-Moody Lie algebras, the Virasoro algebra, the Heisenberg-Virasoro algebra and the Schrodinger-Witt algebra. In this paper, however, we construct simple singular Whittaker modules over the Schrodinger algebra. Moreover, simple singular Whittaker modules over the Schrodinger algebra are classified. As a result, simple modules for the Schrodinger algebra which are locally finite over the positive part are completely classified. We also give characterizations of simple highest weight modules and simple singular Whittaker modules.
关键词	Schrodinger algebra Highest weight modules Singular Whittaker modules Simple modules Locally finite modules
DOI	10.1007/s40304-019-00180-9
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11571145] ; National Natural Science Foundation of China[11471333] ; General Financial Grant from the China Postdoctoral Science Foundation[2016M600140]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000508389800006
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50598
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Xiufu
作者单位	1.Soochow Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Cai, Yan-an,Zhang, Xiufu. Simple Singular Whittaker Modules Over the Schrodinger Algebra[J]. COMMUNICATIONS IN MATHEMATICS AND STATISTICS,2019,7(4):475-483.
APA	Cai, Yan-an,&Zhang, Xiufu.(2019).Simple Singular Whittaker Modules Over the Schrodinger Algebra.COMMUNICATIONS IN MATHEMATICS AND STATISTICS,7(4),475-483.
MLA	Cai, Yan-an,et al."Simple Singular Whittaker Modules Over the Schrodinger Algebra".COMMUNICATIONS IN MATHEMATICS AND STATISTICS 7.4(2019):475-483.