Partial Differential Equation Approach to E-7
文献类型：期刊论文
| 作者 | Xu Xiao Ping |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2015 |
| 卷号 | 31期号:2页码:177-200 |
| 关键词 | E(7) E7 SYMMETRY ALGEBRA Simple Lie algebra E-7 partial differential equation irreducible module decomposition combinatorial identity |
| ISSN号 | 1439-8516 |
| 其他题名 | Partial Differential Equation Approach to E_7 |
| 英文摘要 | By solving certain partial differential equations, we find the explicit decomposition of the polynomial algebra over the 56-dimensional basic irreducible module of the simple Lie algebra E-7 into a sum of irreducible submodules. This essentially gives a partial differential equation proof of a combinatorial identity on the dimensions of certain irreducible modules of E-7. We also determine two three-parameter families of irreducible submodules in the solution space of Cartan's well-known fourth-order E-7-invariant partial differential equation. |
| 资助项目 | [NSFC] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5336534 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/55094]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Xu Xiao Ping. Partial Differential Equation Approach to E-7[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2015,31(2):177-200. |
| APA | Xu Xiao Ping.(2015).Partial Differential Equation Approach to E-7.ACTA MATHEMATICA SINICA-ENGLISH SERIES,31(2),177-200. |
| MLA | Xu Xiao Ping."Partial Differential Equation Approach to E-7".ACTA MATHEMATICA SINICA-ENGLISH SERIES 31.2(2015):177-200. |
入库方式： OAI收割
来源：数学与系统科学研究院
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