Unipotent Representations and Quantum Induction

Mathematics – Representation Theory

Scientific paper

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89 pages. Revised

Scientific paper

In this paper, we construct certain unipotent representations for the real
orthogonal group and the metaplectic group in the sense of Vogan. In
particular, our results imply that there are irreducible unitary
representations attached to each special nilpotent orbit.

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