A New Functor from E (6)-mod to E (7)-mod
文献类型：期刊论文
| 作者 | Xu, Xiaoping
|
| 刊名 | COMMUNICATIONS IN ALGEBRA
 |
| 出版日期 | 2015 |
| 卷号 | 43期号:9页码:3589-3635 |
| 关键词 | Functor Irreducible module Polynomial extension Representation Simple Lie algebra |
| ISSN号 | 0092-7872 |
| DOI | 10.1080/00927872.2014.918992 |
| 英文摘要 | We find a new representation of the simple Lie algebra of type E-7 on the polynomial algebra in 27 variables. Using this representation and Shen's idea of mixed product, we construct a new functor from E-6-Mod to E-7-Mod. A condition for the functor to map a finite-dimensional irreducible E-6-module to an infinite-dimensional irreducible E-7-module is obtained. Our general framework also gives a direct polynomial extension from irreducible E-6-modules to irreducible E-7-modules, which can be used to derive Gel'fand-Zetlin bases for E-7 from those for E-6 that can be obtained from those for D-5 according to our earlier work. |
| 语种 | 英语 |
| WOS记录号 | WOS:000356966000001 |
| 出版者 | TAYLOR & FRANCIS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20090]  |
| 专题 | 数学所 |
| 通讯作者 | Xu, Xiaoping |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Hua Loo Keng Key Math Lab, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Xiaoping. A New Functor from E (6)-mod to E (7)-mod[J]. COMMUNICATIONS IN ALGEBRA,2015,43(9):3589-3635. |
| APA | Xu, Xiaoping.(2015).A New Functor from E (6)-mod to E (7)-mod.COMMUNICATIONS IN ALGEBRA,43(9),3589-3635. |
| MLA | Xu, Xiaoping."A New Functor from E (6)-mod to E (7)-mod".COMMUNICATIONS IN ALGEBRA 43.9(2015):3589-3635. |
入库方式： OAI收割
来源：数学与系统科学研究院
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