On sporadic symmetry breaking operators for principal series representations of the de Sitter and Lorentz groups
Abstract
In this paper, we construct and classify all differential symmetry breaking operators between certain principal series representations of the pair . 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 in the sense of T. Kobayashi, that is, they cannot be obtained by residue formulas of meromorphic families of symmetry breaking operators.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic and Geometric Analysis
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of Functional Analysis
- Volume
- 291
- Issue
- 6
- Pages
- 111539–111539
- Publication date
- 5 May 2026
- Language
- EN