Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products

Pavel Etingof; Wee Liang Gan; Victor Ginzburg; Alexei Oblomkov

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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

Martin P. Holland (1999)

Annales scientifiques de l'École Normale Supérieure

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Classification of $𝔭$ -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 $d$ -dimensional quantum...

A symplectic representation of $E_{7}$

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 $𝔢_{7}$ in terms of symplectic matrices over the octonions, thus justifying the identifications $𝔢_{7} ≅ 𝔰𝔭 (6, 𝕆)$ and, at the group level, $E_{7} ≅ Sp (6, 𝕆)$ . Along the way, we provide a geometric description of the minimal representation of $𝔢_{7}$ in terms of rank 3 objects called cubies.

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 𝔭 -homomorphisms between higher symplectic spinors

Weyl algebra and a realization of the unitary symmetry

A symplectic representation of E 7

Classification of $𝔭$ -homomorphisms between higher symplectic spinors

A symplectic representation of $E_{7}$