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Journal of Lie Theory, Vol. 11, No. 1, pp. 23-55 (2001)
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On some degenerate principal series representations of O(p, 2)

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Takashi Fujimura

154-0011

1-6-5

Kamiuma

Setagaya-ku

Tokyo

Japan

**Abstract:** 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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