Displaying similar documents to “Spin spherical harmonics”

Spherical unitary dual of general linear group over non-Archimidean local field

Marko Tadic (1986)

Annales de l'institut Fourier

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Let F be a local non-archimedean field. The set of all equivalence classes of irreducible spherical representations of G L ( n , F ) 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 G L ( n , F ) by irreducible unitary ones, and Ol’shanskij’s construction of complementary series give directly a description...