Journal of Lie Theory, Vol. 11, No. 1, pp. 23-55 (2001)

On some degenerate principal series representations of O(p, 2)

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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