On sporadic symmetry breaking operators of the pair ($SO_0(4,1)$, $SO_0(3,1)$)
Apparaît dans la collection : 2025 - T1 - WS1 - Intertwining operators and geometry
In this talk, we construct and classify all differential symmetry breaking operators between certain principal series representations of the groups $SO_0(4,1)$ and $SO_0(3,1)$. Moreover, we prove that for these representations, we obtain a localness theorem, namely, we have that any symmetry breaking operator is given by a differential (local) symmetry breaking operator.