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Simple Singular Whittaker Modules Over the Schrodinger Algebra

文献类型：期刊论文

作者Cai, Yan-an1,2; Zhang, Xiufu3
刊名COMMUNICATIONS IN MATHEMATICS AND STATISTICS
出版日期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
DOI10.1007/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
WOS记录号WOS:000508389800006
出版者SPRINGER HEIDELBERG
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Soochow Univ, Dept Math, Suzhou 215006, Jiangsu, 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.

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来源：数学与系统科学研究院

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