Separation of unitary representations of exponential Lie groups.
Arnal, Didier, Baklouti, Ali, Ludwig, Jean, Selmi, Mohamed (2000)
Journal of Lie Theory
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Displaying similar documents to “On the existence of commutative Banach-Lie groups which do not admit continuous unitary representations”
Separation of unitary representations of exponential Lie groups.
Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
Nolan R. Wallach, Roe Goodman (1984)
Journal für die reine und angewandte Mathematik
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Unitary Representations of Reductive Lie Groups
David A.jun. Vogan (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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One of the fundamental problems of abstract harmonic analysis is the determination of the irreducible unitary representations of simple Lie groups. After recalling why this problem is of interest, we discuss the present state of knowledge about it. In the language of Kirillov and Kostant, the problem finally is to «quantize» nilpotent coadjoint orbits.
On Faithful Representations of the Holomorph of Lie Groups.
Ta-Sun Wu, Dong Hoon Lee (1986)
Mathematische Annalen
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On the spinorial representations of .
Teleman, Kostake (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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The unitary dual for complex classical Lie groups.
Dan Barbasch (1989)
Inventiones mathematicae
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Representations of Simple Lie Groups with a Free Module of Covariants.
Gerald W. Schwarz (1978/79)
Inventiones mathematicae
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Polarization and Unitary Representations of Solvable Lie Groups.
L. Auslander (1971)
Inventiones mathematicae
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Cocyle Representations of Solvable Lie Groups.
Henri Moscovici, Andrei Verona (1978)
Mathematische Zeitschrift
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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...
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.
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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Reciprocity theorems in the theory of representations of groups
A. Strasburger, A. Wawrzyńczyk (1972)
Studia Mathematica
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On the Irreducibility of Unitary Principal Series Representations.
Dragan Milicic, Mirko Prime (1982)
Mathematische Annalen
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