On Some Semi-Spherical Representations of an Hermitian Symmetric Pair of the Tubular Type. Study in the Symmetric Algebra.
Alain Guillemonat (1980)
Manuscripta mathematica
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Displaying similar documents to “On Some Semi-Spherical Representations of an Hermitian Symmetrie Pair of the Tubular Type. II. Construction of the Unitary Representations.”
On Some Semi-Spherical Representations of an Hermitian Symmetric Pair of the Tubular Type. Study in the Symmetric Algebra.
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....
On the Irreducibility of Unitary Principal Series Representations.
Dragan Milicic, Mirko Prime (1982)
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Factor representations of diffeomorphism groups
Robert P. Boyer (2003)
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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...
The Capelli identity and unitary representations
Siddhartha Sahi (1992)
Compositio Mathematica
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On the unitary representations of and
L. C. Biedenharn, J. Nuyts, N. Straumann (1965)
Annales de l'I.H.P. Physique théorique
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Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms
Łukasz Garncarek (2014)
Colloquium Mathematicae
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We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
Some stucture theorems for semi-simple representations of ... of algebraic manifolds.
Kang Zuo (1993)
Mathematische Annalen
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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 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...