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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Alain Guillemonat (1979)
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Karl-Hermann Neeb (1994)
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Stephen Gelbart (1971-1973)
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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...
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.
Borwein, Jonathan, Choi, Kwok-Kwong Stephen (2000)
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A. O. Barut, R. Raczka (1972)
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Alain Guillemonat (1980)
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Jing-Song Huang (1991)
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