Gelfand-Kirillov Dimensions of the Z(2)-graded Oscillator Representations of sl(n)
文献类型：期刊论文
| 作者 | Bai Zhan Qiang |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2015 |
| 卷号 | 31期号:6页码:921-937 |
| 关键词 | C-N-MODULES WEIGHT MODULES MULTIPLICITIES Gelfand-Kirillov dimension highest-weight module associated variety minimal GK-dimension module universal enveloping algebra |
| ISSN号 | 1439-8516 |
| 其他题名 | Gelfand-Kirillov Dimensions of the Z~2-graded Oscillator Representations of sl(n) |
| 英文摘要 | We find an exact formula of Gelfand Kirillov dimensions for the infinite-dimensional explicit irreducible sl(n, F)-modules that appeared in the Z(2)-graded oscillator generalizations of the classical theorem on harmonic polynomials established by Luo and Xu. Three infinite subfamilies of these modules have the minimal Gelfand-Kirillov dimension. They contain weight modules with unbounded weight multiplicities and completely pointed modules. |
| 资助项目 | [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5421488 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/54299]  |
| 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 | Bai Zhan Qiang. Gelfand-Kirillov Dimensions of the Z(2)-graded Oscillator Representations of sl(n)[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2015,31(6):921-937. |
| APA | Bai Zhan Qiang.(2015).Gelfand-Kirillov Dimensions of the Z(2)-graded Oscillator Representations of sl(n).ACTA MATHEMATICA SINICA-ENGLISH SERIES,31(6),921-937. |
| MLA | Bai Zhan Qiang."Gelfand-Kirillov Dimensions of the Z(2)-graded Oscillator Representations of sl(n)".ACTA MATHEMATICA SINICA-ENGLISH SERIES 31.6(2015):921-937. |
入库方式： OAI收割
来源：数学与系统科学研究院
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