A new functor from D (5)-Mod to E (6)-Mod
文献类型：期刊论文
| 作者 | Xu, Xiao Ping
|
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2016-08-01 |
| 卷号 | 32期号:8页码:867-892 |
| 关键词 | Simple Lie algebra of type E-6 simple Lie algebra of type D-5 module category functor irreducibility |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-016-5219-7 |
| 英文摘要 | We find a new representation of the simple Lie algebra of type E (6) on the polynomial algebra in 16 variables, which gives a fractional representation of the corresponding Lie group on 16-dimensional space. Using this representation and Shen's idea of mixed product, we construct a new functor from D (5)-Mod to E (6)-Mod. A condition for the functor to map a finite-dimensional irreducible D (5)-module to an infinite-dimensional irreducible E (6)-module is obtained. Our results yield explicit constructions of certain infinite-dimensional irreducible weight E6-modules with finite-dimensional weight subspaces. In our approach, the idea of Kostant's characteristic identities plays a key role. |
| 语种 | 英语 |
| WOS记录号 | WOS:000379537100001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23178]  |
| 专题 | 数学所 |
| 通讯作者 | Xu, Xiao Ping |
| 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, Xiao Ping. A new functor from D (5)-Mod to E (6)-Mod[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2016,32(8):867-892. |
| APA | Xu, Xiao Ping.(2016).A new functor from D (5)-Mod to E (6)-Mod.ACTA MATHEMATICA SINICA-ENGLISH SERIES,32(8),867-892. |
| MLA | Xu, Xiao Ping."A new functor from D (5)-Mod to E (6)-Mod".ACTA MATHEMATICA SINICA-ENGLISH SERIES 32.8(2016):867-892. |
入库方式： OAI收割
来源：数学与系统科学研究院
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