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Deformations of the metaplectic representations

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Publication:2774869
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DOI10.1063/1.1350637zbMath1032.17007OpenAlexW2028392533MaRDI QIDQ2774869

Georges Pinczon, Marc Lesimple

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1350637


zbMATH Keywords

metaplectic representationLie superalgebras


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Cohomology of Lie (super)algebras (17B56)


Related Items (1)

Supertrace and superquadratic Lie structure on the Weyl algebra, and applications to formal inverse Weyl transform



Cites Work

  • The enveloping algebra of the Lie superalgebra \(\mathfrak{osp}(1,2)\)
  • Extensions of representations and cohomology
  • The structure of \({\mathfrak s\mathfrak l}(2,1)\)-supersymmetry: Irreducible representations and primitive ideals
  • Deformations of Lie group and Lie algebra representations
  • Extensions of representations of Lie superalgebras


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