Quantization of the Marsden-Weinstein reduction for extended Dynkin quivers
Martin P. Holland (1999)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products”
Quantization of the Marsden-Weinstein reduction for extended Dynkin quivers
Classification of -homomorphisms between higher symplectic spinors
Krýsl, Svatopluk
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Weyl algebra and a realization of the unitary symmetry
Strasburger, Aleksander
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In the paper the origins of the intrinsic unitary symmetry encountered in the study of bosonic systems with finite degrees of freedom and its relations with the Weyl algebra (1979, Jacobson) generated by the quantum canonical commutation relations are presented. An analytical representation of the Weyl algebra formulated in terms of partial differential operators with polynomial coefficients is studied in detail. As a basic example, the symmetry properties of the -dimensional quantum...
A symplectic representation of
Tevian Dray, Corinne A. Manogue, Robert A. Wilson (2014)
Commentationes Mathematicae Universitatis Carolinae
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We explicitly construct a particular real form of the Lie algebra in terms of symplectic matrices over the octonions, thus justifying the identifications and, at the group level, . Along the way, we provide a geometric description of the minimal representation of in terms of rank 3 objects called cubies.