Simple Singular Whittaker Modules Over the Schrodinger Algebra

doi:10.1007/s40304-019-00180-9

	Simple Singular Whittaker Modules Over the Schrodinger Algebra
	Cai, Yan-an 2,3; Zhang, Xiufu 1
刊名	COMMUNICATIONS IN MATHEMATICS AND STATISTICS
	2019-12-01
卷号	7 期号:4 页码:475-483
关键词	Schrodinger algebra Highest weight modules Singular Whittaker modules Simple modules Locally finite modules
ISSN号	2194-6701
DOI	10.1007/s40304-019-00180-9
英文摘要	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.
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
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000508389800006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50597]
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.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China 2.Soochow Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.