Generalized Verma modules over sl(n+2) induced from u(h(n))-free sl(n+1)-modules

doi:10.1016/j.jalgebra.2018.01.019

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	Generalized Verma modules over sl(n+2) induced from u(h(n))-free sl(n+1)-modules
	Cai, Yan-an 1,2; Liu, Genqiang 3; Nilsson, Jonathan 4; Zhao, Kaiming 5,6
	2018-05-15
发表期刊	JOURNAL OF ALGEBRA
ISSN	0021-8693
卷号	502 页码:146-162
摘要	A class of generalized Verma modules over sl(n+2) are constructed from sl(n+1)-modules which are u(h(n))-free modules of rank 1. The necessary and sufficient conditions for these sl(n+2)-modules to be simple are determined. This leads to a class of new simple sl(n+2)-modules. (C) 2018 Elsevier Inc. All rights reserved.
关键词	Generalized Verma module Simple module sl(n+2)
DOI	10.1016/j.jalgebra.2018.01.019
语种	英语
资助项目	NSFC[11401551] ; NSFC[11301143] ; NSFC[11771122] ; NSFC[11271109] ; NSFC[11471233] ; China Scholarship Council[201306340058] ; China Postdoctoral Science Foundation[2016M600140] ; school fund of Henan University[2012YBZR031] ; school fund of Henan University[yqpy20140044] ; Royal Swedish Academy of Sciences ; NSERC[311907-2015]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000428834300010
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/29981
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Kaiming
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Sci & Technol China, Sch Math Sci, Chinese Acad Sci, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China 3.Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China 4.Orebro Univ, Dept Math, Fak Gatan 1, S-70281 Orebro, Sweden 5.Hebei Normal Teachers Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China 6.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
推荐引用方式 GB/T 7714	Cai, Yan-an,Liu, Genqiang,Nilsson, Jonathan,et al. Generalized Verma modules over sl(n+2) induced from u(h(n))-free sl(n+1)-modules[J]. JOURNAL OF ALGEBRA,2018,502:146-162.
APA	Cai, Yan-an,Liu, Genqiang,Nilsson, Jonathan,&Zhao, Kaiming.(2018).Generalized Verma modules over sl(n+2) induced from u(h(n))-free sl(n+1)-modules.JOURNAL OF ALGEBRA,502,146-162.
MLA	Cai, Yan-an,et al."Generalized Verma modules over sl(n+2) induced from u(h(n))-free sl(n+1)-modules".JOURNAL OF ALGEBRA 502(2018):146-162.