Branching multiplicities for orthogonal Gelfand pairs are constant inside convex regions of the parameter space of reduced coherent families, separated by piecewise-linear fences governed by systems of linear inequalities.
On sporadic symmetry breaking operators for principal series representations of the de Sitter and Lorentz groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper, we construct and classify all differential symmetry breaking operators between certain principal series representations of the pair $SO_0(4,1) \supset SO_0(3,1)$. 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 in the sense of T. Kobayashi, that is, they cannot be obtained by residue formulas of meromorphic families of symmetry breaking operators.
fields
math.RT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Stability of Branching Multiplicities for Orthogonal Gelfand Pairs
Branching multiplicities for orthogonal Gelfand pairs are constant inside convex regions of the parameter space of reduced coherent families, separated by piecewise-linear fences governed by systems of linear inequalities.