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Communications in Mathematical Physics

, Volume 337, Issue 3, pp 1053–1076 | Cite as

Twisted Heisenberg Doubles

  • Daniele Rosso
  • Alistair Savage
Article

Abstract

We introduce a twisted version of the Heisenberg double, constructed from a twisted Hopf algebra and a twisted pairing. We state a Stone–von Neumann type theorem for a natural Fock space representation of this twisted Heisenberg double and deduce the effect on the algebra of shifting the product and coproduct of the original twisted Hopf algebra. We conclude by showing that the quantum Weyl algebra, quantum Heisenberg algebras, and lattice Heisenberg algebras are all examples of the general construction.

Keywords

Bilinear Form Hopf Algebra Dual Pair Monoidal Category Symmetric Bilinear Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of OttawaOttawaCanada
  2. 2.Centre de Recherches MathématiquesMontréalCanada

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