Disintegration of monomial representations of nilpotent Lie groups. (Désintégration des représentations monomiales des groupes de Lie nilpotents.)
Baklouti, A., Ludwig, J. (1999)
Journal of Lie Theory
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Baklouti, A., Ludwig, J. (1999)
Journal of Lie Theory
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Arnal, Didier, Baklouti, Ali, Ludwig, Jean, Selmi, Mohamed (2000)
Journal of Lie Theory
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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.
Dan Barbasch (1989)
Inventiones mathematicae
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Stephen Gelbart (1971-1973)
Séminaire Choquet. Initiation à l'analyse
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Wojciech Banaszczyk (1987)
Colloquium Mathematicae
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C. Cishahayo, S. De Bièvre (1993)
Annales de l'institut Fourier
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It is shown, using techniques inspired by the method of orbits, that each non-zero mass, positive energy representation of the Poincaré group can be obtained via contraction from the discrete series of representations of .
Eberhard Kaniuth, M.E.B. Bekka (1988)
Journal für die reine und angewandte Mathematik
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Henri Moscovici, Andrei Verona (1978)
Inventiones mathematicae
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Henrik Stetkaer, Jacob Jacobsen (1981)
Mathematica Scandinavica
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P. Feinsilver, R. Schott (1990)
Mathematische Zeitschrift
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N. I. Stoilova, J. Van der Jeugt (2011)
Banach Center Publications
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An explicit construction of all finite-dimensional irreducible representations of classical Lie algebras is a solved problem and a Gelfand-Zetlin type basis is known. However the latter lacks the orthogonality property or does not consist of weight vectors for 𝔰𝔬(n) and 𝔰𝔭(2n). In case of Lie superalgebras all finite-dimensional irreducible representations are constructed explicitly only for 𝔤𝔩(1|n), 𝔤𝔩(2|2), 𝔬𝔰𝔭(3|2) and for the so called essentially typical representations...
Wolf, Joseph A.
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[For the entire collection see Zbl 0742.00067.]Let be a connected semisimple Lie group with finite center. In this review article the author describes first the geometric realization of the discrete series representations of on Dolbeault cohomology spaces and the tempered series of representations of on partial Dolbeault cohomology spaces. Then he discusses his joint work with Wilfried Schmid on the construction of maximal globalizations of standard Zuckerman modules via geometric...