Introduction to the theory of group representations
Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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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.
Paul J.jun. Sally, Marko Tadic (1993)
Mémoires de la Société Mathématique de France
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A. Wawrzyńczyk (1970)
Studia Mathematica
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A. O. Barut, R. Raczka (1972)
Annales de l'I.H.P. Physique théorique
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G. I. Lehrer (1974)
Compositio Mathematica
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Iorgov, N.Z., Klimyk, A.U. (2005)
International Journal of Mathematics and Mathematical Sciences
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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...
N. Limić, J. Niederle (1968)
Annales de l'I.H.P. Physique théorique
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Dao Vong Duc, Nguyen Van Hieu (1967)
Annales de l'I.H.P. Physique théorique
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