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New representations of affine Kac-Moody algebras

文献类型：期刊论文

作者Cai, Yan-An1,5; Tan, Haijun4,6; Zhao, Kaiming2,3
刊名JOURNAL OF ALGEBRA
出版日期2020-04-01
卷号547页码:95-115
关键词Affinc Kac-Moody algebra Non-weight module Simple module
ISSN号0021-8693
DOI10.1016/j.jalgebra.2019.11.014
英文摘要Let (h) over tilde be a Cartan subalgebra, of an affine Kac-Moody algebra without containing the center. In this paper, we classify the module structures on U((h) over tilde) for all affine Kac-Moody algebras which are free U((h) over tilde)-modules of rank 1. These modules exist only for type A(l)((1))(l >= 1) or C-l((1))(l >= 2) affine Kac-Moody algebras, they are generically non-weight and simple. Hence, we obtain a class of new simple modules over these affine Kac-Moody algebras. (C) 2019 Elsevier Inc. All rights reserved.
资助项目China Postdoctoral Science Foundation[2016M600140] ; China Postdoctoral Science Foundation[111900302] ; China Postdoctoral Science Foundation[111900350] ; NSF of China[11801390] ; NSF of China[11771069] ; NSF of China[11871190] ; CSC[201608220004] ; NSF of Jilin Province[20180520025JH] ; NSF of Jilin Province[JJKH20190547KJ] ; NSF of Jilin Province[JJKH20190548KJ] ; NSERC[311907-2015]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000509419000004
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50786]  
专题中国科学院数学与系统科学研究院
通讯作者Tan, Haijun
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Hebei Normal Teachers Univ, Coll Math Sci, Shijiazhuang 050016, Hebei, Peoples R China
3.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
4.Changchun Univ Sci & Technol, Dept Appl Math, Jilin 130022, Jilin, Peoples R China
5.Soochow Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China
6.Northeast Normal Univ, Sch Math & Stat, Jilin 130024, Jilin, Peoples R China
推荐引用方式
GB/T 7714		 Cai, Yan-An,Tan, Haijun,Zhao, Kaiming. New representations of affine Kac-Moody algebras[J]. JOURNAL OF ALGEBRA,2020,547:95-115.
APA Cai, Yan-An,Tan, Haijun,&Zhao, Kaiming.(2020).New representations of affine Kac-Moody algebras.JOURNAL OF ALGEBRA,547,95-115.
MLA Cai, Yan-An,et al."New representations of affine Kac-Moody algebras".JOURNAL OF ALGEBRA 547(2020):95-115.

入库方式： OAI收割

来源：数学与系统科学研究院

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