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Lie群論・表現論セミナー
過去の記録 ～04/23｜次回の予定｜今後の予定 04/24～
| 開催情報 | 火曜日 16:30～18:00 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 小林俊行 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html |
2008年05月27日(火)
16:30-18:00 数理科学研究科棟(駒場) 126号室
笹木集夢 氏 (早稲田大学)
Visible actions on multiplicity-free spaces
http://akagi.ms.u-tokyo.ac.jp/seminar.html
笹木集夢 氏 (早稲田大学)
Visible actions on multiplicity-free spaces
[ 講演概要 ]
The holomorphic action of a Lie group G on a complex manifold D is called strongly visible if there exist a real submanifold S such that D':=G・S is open in D and an anti-holomorphic diffeomorphism σ which is an identity map on S and preserves each G-orbit in D'.
In this talk, we treat the case where D is a multiplicity-free space V of a connected complex reductive Lie group G(C), and show that the action of a compact real form of G(C) on V is strongly visible.
[ 参考URL ]The holomorphic action of a Lie group G on a complex manifold D is called strongly visible if there exist a real submanifold S such that D':=G・S is open in D and an anti-holomorphic diffeomorphism σ which is an identity map on S and preserves each G-orbit in D'.
In this talk, we treat the case where D is a multiplicity-free space V of a connected complex reductive Lie group G(C), and show that the action of a compact real form of G(C) on V is strongly visible.
http://akagi.ms.u-tokyo.ac.jp/seminar.html
