Classification theorem on irreducible representations of the -deformed algebra .
Iorgov, N.Z., Klimyk, A.U. (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Degenerate series representations of the -deformed algebra .”
Classification theorem on irreducible representations of the -deformed algebra .
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.
Induced representations and classification for and
Paul J.jun. Sally, Marko Tadic (1993)
Mémoires de la Société Mathématique de France
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Construction of the fourfold cover of the Mathieu group .
Suleiman, Ibrahim A.I., Wilson, Robert A. (1993)
Experimental Mathematics
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Singleton representations of
Dobrev, V. K., Moylan, P.
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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...
Weighted Plancherel formula. Irreducible unitary representations and eigenspace representations.
Heping Liu, Lizhong Peng (1993)
Mathematica Scandinavica
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Representations of presheaves of closure space
Jaroslav Drahoš (1972)
Czechoslovak Mathematical Journal
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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...