On Some Semi-Spherical Representations of an Hermitian Symmetrie Pair of the Tubular Type. II. Construction of the Unitary Representations.
Alain Guillemonat (1979)
Mathematische Annalen
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Displaying similar documents to “On Some Semi-Spherical Representations of an Hermitian Symmetric Pair of the Tubular Type. Study in the Symmetric Algebra.”
On Some Semi-Spherical Representations of an Hermitian Symmetrie Pair of the Tubular Type. II. Construction of the Unitary Representations.
Inducing spherical representations of semi-simple Lie groups
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ContentsIntroduction............................................................................................................................................................................... 5Chapter I. Preliminaries and notations....................................................................................................................... 8 1. Manifolds—generalities................................................................................................. 8 2....
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Let be a local non-archimedean field. The set of all equivalence classes of irreducible spherical representations of is described in the first part of the paper. In particular, it is shown that each irreducible spherical representation is parabolically induced by an unramified character. Bernstein’s result on the irreducibility of the parabolically induced representations of by irreducible unitary ones, and Ol’shanskij’s construction of complementary series give directly a description...
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