Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations
文献类型：期刊论文
| 作者 | Chen, Ling |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2011 |
| 卷号 | 27期号:1页码:45-72 |
| 关键词 | Hamiltonian Lie algebras representation simplicity irreducibility |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-011-0204-7 |
| 英文摘要 | We construct a class of new Lie algebras by generalizing the one-variable Lie algebras generated by the quadratic conformal algebras (or corresponding Hamiltonian operators) associated with Poisson algebras and a quasi-derivation found by Xu. These algebras can be viewed as certain twists of Xu's generalized Hamiltonian Lie algebras. The simplicity of these algebras is completely determined. Moreover, we construct a family of multiplicity-free representations of these Lie algebras and prove their irreducibility. |
| 语种 | 英语 |
| WOS记录号 | WOS:000285405300004 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12227]  |
| 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 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Ling. Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2011,27(1):45-72. |
| APA | Chen, Ling.(2011).Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations.ACTA MATHEMATICA SINICA-ENGLISH SERIES,27(1),45-72. |
| MLA | Chen, Ling."Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations".ACTA MATHEMATICA SINICA-ENGLISH SERIES 27.1(2011):45-72. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。