Jacobi群のユニタリ表現

雅可比群的酉表示

• 批准号: 05740032
• 负责人: 菅 修一
• 金额: $ 0.64万
• 依托单位: University of the Ryukyus
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Encouragement of Young Scientists (A)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 无数据
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05740032/
• 关键词: ユニタリ表現; Jacobi群; 最高ウエイト表現; Vermc加群; Contrauariant form

実シンプレクティク群と実ハイゼンベルグ群の半直積であるJacobi群の最高ウエイト表現について次の様な結果を得た1)シンプレクティク群の実ランクが1のときには既約最高ウエイト表現のユニタリ化可能性が完全に決定でき、また表現空間に適当な基底をとると自然なHermife内積が対角化できることがわかった。この結果はpreprintﾞUnitary hishest weight module of a Jacobi group〃にまとめ役稿準備中である。2)rankが2以上の時も同様の結果が得られると予想され現在もその研究は進行中である。なおrank2のときにはある程度の結果を得ている、

The results are as follows: 1) the results show that there is no difference between the two groups. The results are as follows: 1) the results show that there is a difference between the two groups. The results are as follows: 1) the results show that there is a possibility that the possibility of reduction is completely determined. The system shows that the space is affected when the base system is used in the natural Hermife, and the system is keratinized in the system. The results show that the preparation of the draft of preprint Unitary hishest weight module of a Jacobi group is in progress. 2) the same results have been obtained at the same time in rank 2 and above. It is expected that the study is currently in progress. The result of the result of the rank2 test showed that the result was satisfactory.