*Conformal Geometry and Analysis on Minimal Representations of O*(*p*,*q*),

Workshop on Representation Theory of Lie Groups,
Special Year Program on
Representation Theory of Lie Groups (organized by Jeffrey Adams, Jian-Shu
Li, Kyo Nishiyama, Dipendra Prasad, Gordan Savin, Eng-Chye Tan and Chen-Bo
Zhu), Institute for Mathematical Sciences (IMS), Singapore, 13 August 2002.

We apply 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 Yamabe equation. Then, I will discuss various geometric models together with explicit inner products of the minimal representation of *O*(*p*,*q*).

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© Toshiyuki Kobayashi