# Analysis on the minimal representation of O(p;q) { I. Realization via conformal geometry

@article{Kobayashi2001AnalysisOT, title={Analysis on the minimal representation of O(p;q) \{ I. Realization via conformal geometry}, author={Toshiyuki Kobayashi and Bent Orsted}, journal={Advances in Mathematics}, year={2001}, volume={180}, pages={486-512} }

Abstract This is the first in a series of papers devoted to an analogue of the metaplectic representation, namely the minimal unitary representation of an indefinite orthogonal group; this representation corresponds to the minimal nilpotent coadjoint orbit in the philosophy of Kirillov–Kostant. We begin by applying methods from conformal geometry of pseudo-Riemannian manifolds to a general construction of an infinite-dimensional representation of the conformal group on the solution space of the… Expand

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This is a second paper in a series devoted to the minimal unitary representation of Oðp; qÞ: By explicit methods from conformal geometry of pseudo Riemannian manifolds, we find the branching law… Expand

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For the group O(p,q) we give a new construction of its minimal unitary representation via Euclidean Fourier analysis.
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