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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