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Lie群論・表現論セミナー
過去の記録 ～06/30｜次回の予定｜今後の予定 07/01～
| 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11月18日(火)
16:30-18:00 数理科学研究科棟(駒場) 126号室
Jorge Vargas 氏 (FAMAF-CIEM, C\'ordoba)
Liouville measures and multiplicity formulae for admissible restriction of Discrete Series
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
Jorge Vargas 氏 (FAMAF-CIEM, C\'ordoba)
Liouville measures and multiplicity formulae for admissible restriction of Discrete Series
[ 講演概要 ]
Let HsubsetG be reductive matrix Lie groups. We fix a square integrable irreducible representation pi of G.
Let Omega denote the coadjoint orbit of the Harish-Chandra parameter of pi.
Assume pi restricted to H is admissible. In joint work with Michel Duflo, by means of "discrete" and "continuos" Heaviside functions we relate the multiplicity of each irreducible H−factor of pi restricted to H and push forward to \\mathfrak h^\\star of the Liouville measure for Omega. This generalizes work of Duflo-Heckman-Vergne.
[ 参考URL ]Let HsubsetG be reductive matrix Lie groups. We fix a square integrable irreducible representation pi of G.
Let Omega denote the coadjoint orbit of the Harish-Chandra parameter of pi.
Assume pi restricted to H is admissible. In joint work with Michel Duflo, by means of "discrete" and "continuos" Heaviside functions we relate the multiplicity of each irreducible H−factor of pi restricted to H and push forward to \\mathfrak h^\\star of the Liouville measure for Omega. This generalizes work of Duflo-Heckman-Vergne.
https://www.ms.u-tokyo.ac.jp/~toshi/seminar/ut-seminar.html
