Projective oscillator representations of sl (n+1 vertical bar m) and osp(m vertical bar n+1)
文献类型：期刊论文
| 作者 | Chen, Ling1; Xu, Xiaoping2 |
| 刊名 | COMMUNICATIONS IN ALGEBRA
 |
| 出版日期 | 2020-09-19 |
| 页码 | 27 |
| 关键词 | Irreducible module ortho-symplectic Lie superalgebra oscillator representation special linear Lie superalgebra supersymmetric exponential-polynomial function supersymmetric polynomial algebra |
| ISSN号 | 0092-7872 |
| DOI | 10.1080/00927872.2020.1819303 |
| 英文摘要 | 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. |
| 资助项目 | NSFC[11401559] ; NSFC[11671381] ; NSFC[11321101] ; UCAS[Y55202HY00] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000572794400001 |
| 出版者 | TAYLOR & FRANCIS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52244]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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