The number of representations of a group induced from the irreducible representations of a normal subgroup.
G. Karpilowsky (1978)
Mathematica Scandinavica
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G. Karpilowsky (1978)
Mathematica Scandinavica
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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.
D. Leites, V. Serganova (1991)
Mathematica Scandinavica
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Paul J.jun. Sally, Marko Tadic (1993)
Mémoires de la Société Mathématique de France
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Groza, Valentyna A. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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...
A. O. Barut, R. Raczka (1972)
Annales de l'I.H.P. Physique théorique
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Suleiman, Ibrahim A.I., Wilson, Robert A. (1993)
Experimental Mathematics
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Jaroslav Drahoš (1972)
Czechoslovak Mathematical Journal
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Iorgov, N.Z., Klimyk, A.U. (2005)
International Journal of Mathematics and Mathematical Sciences
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