Projective oscillator representations of sl (n+1 vertical bar m) and osp(m vertical bar n+1)

doi:10.1080/00927872.2020.1819303

CSpace

	Projective oscillator representations of sl (n+1 vertical bar m) and osp(m vertical bar n+1)
	Chen, Ling 1; Xu, Xiaoping 2
	2020-09-19
发表期刊	COMMUNICATIONS IN ALGEBRA
ISSN	0092-7872
页码	27
摘要	Motivated from understanding higher-dimensional supersymmetric conformal field theory, we study various inhomogeneous oscillator representations of sl (n + 1 vertical bar m) and osp(m vertical bar n + 1) on supersymmetric polynomial algebras and on spaces of supersymmetric exponential-polynomial functions, analogous to the projective oscillator representations of sl(n + 1) and sp(2m+2). In particular, we find the explicit structures of certain Harish-Chandra modules and Whittaker-type modules of these Lie superalgebras.
关键词	Irreducible module ortho-symplectic Lie superalgebra oscillator representation special linear Lie superalgebra supersymmetric exponential-polynomial function supersymmetric polynomial algebra
DOI	10.1080/00927872.2020.1819303
收录类别	SCI
语种	英语
资助项目	NSFC[11401559] ; NSFC[11671381] ; NSFC[11321101] ; UCAS[Y55202HY00]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000572794400001
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52245
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Ling
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, HLM, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Chen, Ling,Xu, Xiaoping. Projective oscillator representations of sl (n+1 vertical bar m) and osp(m vertical bar n+1)[J]. COMMUNICATIONS IN ALGEBRA,2020:27.
APA	Chen, Ling,&Xu, Xiaoping.(2020).Projective oscillator representations of sl (n+1 vertical bar m) and osp(m vertical bar n+1).COMMUNICATIONS IN ALGEBRA,27.
MLA	Chen, Ling,et al."Projective oscillator representations of sl (n+1 vertical bar m) and osp(m vertical bar n+1)".COMMUNICATIONS IN ALGEBRA (2020):27.