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Lie Groups and Representation Theory
Seminar information archive ～05/20｜Next seminar｜Future seminars 05/21～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2026/05/26
16:00-17:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Víctor Pérez-Valdés (The University of Tokyo)
On sporadic symmetry breaking operators from $S^3$ to $S^2$
Víctor Pérez-Valdés (The University of Tokyo)
On sporadic symmetry breaking operators from $S^3$ to $S^2$
[ Abstract ]
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.
