thegelfandkirillovdimensionofaunitaryhighestweightmodule
文献类型：期刊论文
| 作者 | Bai Zhanqiang1; Hunziker Markus2 |
| 刊名 | sciencechinamathematics
 |
| 出版日期 | 2015 |
| 卷号 | 58期号:12页码:2489 |
| ISSN号 | 1674-7283 |
| 英文摘要 | During the last decade, a great deal of activity has been devoted to the calculation of the Hilbert- Poincare series of unitary highest weight representations and related modules in algebraic geometry. However, uniform formulas remain elusive-even for more basic invariants such as the Gelfand-Kirillov dimension or the Bernstein degree, and are usually limited to families of representations in a dual pair setting. We use earlier work by Joseph to provide an elementary and intrinsic proof of a uniform formula for the Gelfand-Kirillov dimension of an arbitrary unitary highest weight module in terms of its highest weight. The formula generalizes a result of Enright and Willenbring (in the dual pair setting) and is inspired by Wang's formula for the dimension of a minimal nilpotent orbit. |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/39486]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.贝勒大学 |
| 推荐引用方式 GB/T 7714 | Bai Zhanqiang,Hunziker Markus. thegelfandkirillovdimensionofaunitaryhighestweightmodule[J]. sciencechinamathematics,2015,58(12):2489. |
| APA | Bai Zhanqiang,&Hunziker Markus.(2015).thegelfandkirillovdimensionofaunitaryhighestweightmodule.sciencechinamathematics,58(12),2489. |
| MLA | Bai Zhanqiang,et al."thegelfandkirillovdimensionofaunitaryhighestweightmodule".sciencechinamathematics 58.12(2015):2489. |
入库方式： OAI收割
来源：数学与系统科学研究院
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