Verma Modules over Quantum Torus Lie Algebras
文献类型：期刊论文
| 作者 | Lue, Rencai1; Zhao, Kaiming2,3 |
| 刊名 | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
 |
| 出版日期 | 2010-04-01 |
| 卷号 | 62期号:2页码:382-399 |
| ISSN号 | 0008-414X |
| DOI | 10.4153/CJM-2010-022-1 |
| 英文摘要 | Representations of various one-dimensional central extensions of quantum tori (called quantum torus Lie algebras) were studied by several authors. Now we define a central extension of quantum tori so that all known representations can be regarded as representations of the new quantum torus Lie algebras L(q). The center of L(q) now is generally infinite dimensional. In this paper, Z-graded Verma modules (V) over tilde(phi) over L(q) and their corresponding irreducible highest weight modules V(phi) are defined for some linear functions phi. Necessary and sufficient conditions for V(phi) to have all finite dimensional weight spaces are given. Also necessary and sufficient conditions for Verma modules (V) over tilde(phi) to be irreducible are obtained. |
| 资助项目 | NSERC ; NSF of China[10431040] ; NSF of China[10601057] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000275983400008 |
| 出版者 | CANADIAN MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10290]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lue, Rencai |
| 作者单位 | 1.Suzhou Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lue, Rencai,Zhao, Kaiming. Verma Modules over Quantum Torus Lie Algebras[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,2010,62(2):382-399. |
| APA | Lue, Rencai,&Zhao, Kaiming.(2010).Verma Modules over Quantum Torus Lie Algebras.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,62(2),382-399. |
| MLA | Lue, Rencai,et al."Verma Modules over Quantum Torus Lie Algebras".CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 62.2(2010):382-399. |
入库方式： OAI收割
来源：数学与系统科学研究院
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