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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