Displaying similar documents to “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

Aleksander Strasburger

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ContentsIntroduction............................................................................................................................................................................... 5Chapter I. Preliminaries and notations....................................................................................................................... 8    1. Manifolds—generalities................................................................................................. 8    2....

Factor representations of diffeomorphism groups

Robert P. Boyer (2003)

Studia Mathematica

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We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...

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...