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Journal of Lie Theory 11 (2001), No. 1, 023--055
Copyright Heldermann Verlag 2001

On Some Degenerate Principal Series Representations of O(p,2)

Takashi Fujimura
1-6-5 Kamiuma, Setagaya-ku, Tokyo 154-0011, Japan

We consider representations of O(p, 2)  (p>4)  induced from one-dimensional representations of a maximal parabolic subgroup. We first decompose them into K-types using Stiefel harmonics theory, then write down the actions of the noncompact part. Now the reducibility and the unitarizability of the irreducible constituents are deduced.

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