New representations of affine Kac-Moody algebras

doi:10.1016/j.jalgebra.2019.11.014

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	New representations of affine Kac-Moody algebras
	Cai, Yan-An 1,2; Tan, Haijun 3,4; Zhao, Kaiming 5,6
	2020-04-01
发表期刊	JOURNAL OF ALGEBRA
ISSN	0021-8693
卷号	547 页码:95-115
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.
关键词	Affinc Kac-Moody algebra Non-weight module Simple module
DOI	10.1016/j.jalgebra.2019.11.014
收录类别	SCI
语种	英语
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
WOS类目	Mathematics
WOS记录号	WOS:000509419000004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50787
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.Soochow Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Northeast Normal Univ, Sch Math & Stat, Jilin 130024, Jilin, Peoples R China 4.Changchun Univ Sci & Technol, Dept Appl Math, Jilin 130022, Jilin, Peoples R China 5.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 6.Hebei Normal Teachers Univ, Coll Math Sci, Shijiazhuang 050016, Hebei, 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.