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Lie群論・表現論セミナー
過去の記録 ～05/20｜次回の予定｜今後の予定 05/21～
| 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 |
2026年05月26日(火)
16:00-17:00 数理科学研究科棟(駒場) 128号室
ビクトール・ペレズ＝バルデス 氏 (東大数理)
On sporadic symmetry breaking operators from $S^3$ to $S^2$
ビクトール・ペレズ＝バルデス 氏 (東大数理)
On sporadic symmetry breaking operators from $S^3$ to $S^2$
[ 講演概要 ]
In this talk we construct and classify all differential symmetry breaking operators between certain principal series representations of the pair $(SO_0(4,1), SO_0(3,1))$.
In this case, we also prove a localness theorem, namely, all symmetry breaking operators between the principal series representations in concern are necessarily differential operators.
In addition, we show that all these symmetry breaking operators are sporadic, that is, they cannot be obtained by residue formulas of meromorphic families of symmetry breaking operators.
In this talk we construct and classify all differential symmetry breaking operators between certain principal series representations of the pair $(SO_0(4,1), SO_0(3,1))$.
In this case, we also prove a localness theorem, namely, all symmetry breaking operators between the principal series representations in concern are necessarily differential operators.
In addition, we show that all these symmetry breaking operators are sporadic, that is, they cannot be obtained by residue formulas of meromorphic families of symmetry breaking operators.
