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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Displaying similar documents to “Unitary Representations of Reductive Lie Groups”
Disintegration of monomial representations of nilpotent Lie groups. (Désintégration des représentations monomiales des groupes de Lie nilpotents.)
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We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
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We study the invariant symbolic calculi associated with the unitary irreducible representations of a compact Lie group.
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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 .
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Eberhard Kaniuth, M.E.B. Bekka (1988)
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Harmonically Induced Representations of Nilpotent Lie Groups.
Henri Moscovici, Andrei Verona (1978)
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Eigenspace representations of nilpotent lie groups.
Henrik Stetkaer, Jacob Jacobsen (1981)
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Special Functions and Infinite-dimensional Representations of Lie Groups.
P. Feinsilver, R. Schott (1990)
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Explicit representations of classical Lie superalgebras in a Gelfand-Zetlin basis
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...