Singleton representations of
Dobrev, V. K., Moylan, P.
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Dobrev, V. K., Moylan, P.
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Groza, Valentyna A. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Paul J.jun. Sally, Marko Tadic (1993)
Mémoires de la Société Mathématique de France
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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. 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...
W. H. Klink, T. Ton-That (1979)
Annales de l'I.H.P. Physique théorique
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Şerban Strǎtilǎ, Dan Voiculescu (1982)
Banach Center Publications
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