Representations of E-7, equivalent combinatorics and algebraic varieties
文献类型：期刊论文
| 作者 | Xu, Xiaoping1,2
|
| 刊名 | JOURNAL OF ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2018-03-01 |
| 卷号 | 17期号:3页码:22 |
| 关键词 | Inhomogeneous representation simple Lie algebra E-7 exponential-polynomial function equivalent combinatorics algebraic variety |
| ISSN号 | 0219-4988 |
| DOI | 10.1142/S0219498818500457 |
| 英文摘要 | In our earlier work on a new functor from E-6-Mod to E-7-Mod, we found a oneparameter (c) family of inhomogeneous first-order differential operator representations of the simple Lie algebra of type E-7 in 27 variables. Letting these operators act on the space of exponential-polynomial functions that depend on a parametric vector (a) over right arrow epsilon C-27 \{(0) over right arrow}, we prove that the space forms an irreducible E-7-module for any c epsilon C if (a) over right arrow is not on an explicitly given projective algebraic variety. Certain equivalent combinatorial properties of the basic oscillator representation of E-6 over its 27-dimensional module play key roles in our proof. Our result can also be used to study free bosonic field irreducible representations of the corresponding affine Kac-Moody algebra. |
| 语种 | 英语 |
| WOS记录号 | WOS:000424255100007 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29371]  |
| 专题 | 数学所 |
| 通讯作者 | Xu, Xiaoping |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Xiaoping. Representations of E-7, equivalent combinatorics and algebraic varieties[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS,2018,17(3):22. |
| APA | Xu, Xiaoping.(2018).Representations of E-7, equivalent combinatorics and algebraic varieties.JOURNAL OF ALGEBRA AND ITS APPLICATIONS,17(3),22. |
| MLA | Xu, Xiaoping."Representations of E-7, equivalent combinatorics and algebraic varieties".JOURNAL OF ALGEBRA AND ITS APPLICATIONS 17.3(2018):22. |
入库方式： OAI收割
来源：数学与系统科学研究院
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