Vertex operator representations of quantum tori at roots of unity
文献类型：期刊论文
| 作者 | Billig, Y; Zhao, K |
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 2004-02-01 |
| 卷号 | 6期号:1页码:195-220 |
| 关键词 | quantum torus Lie algebra vertex operator representation character formula irreducible module |
| ISSN号 | 0219-1997 |
| 英文摘要 | As Lie algebra, we add the center c(1) (and the outer derivation d(1)) to the quantum torus C-q to give the extended torus Lie algebra (C) over cap (q) (and (C) over tilde (q) respectively). Before the present paper, only some level 1 vertex operator representations for some (C) over cap (q) (and (C) over tilde (q)) were constructed. In this paper, we first give vertex operator representations for gl(Ixinfinity) (C) where I is an arbitrary index set. By embedding some (C-q) over cap into gl(Ixinfinity) (C), we obtain a series of higher level vertex operator representations for (C-q) over cap and (C-q) over tilde. Most of these vertex operator representations yield irreducible highest weight modules over these (C-q) over tilde. Also their character formulas follow directly. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000220412000006 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19534]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Billig, Y |
| 作者单位 | 1.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China 3.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada |
| 推荐引用方式 GB/T 7714 | Billig, Y,Zhao, K. Vertex operator representations of quantum tori at roots of unity[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2004,6(1):195-220. |
| APA | Billig, Y,&Zhao, K.(2004).Vertex operator representations of quantum tori at roots of unity.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,6(1),195-220. |
| MLA | Billig, Y,et al."Vertex operator representations of quantum tori at roots of unity".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 6.1(2004):195-220. |
入库方式： OAI收割
来源：数学与系统科学研究院
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