Letters in Mathematical Physics

, Volume 35, Issue 1, pp 85–89 | Cite as

Star products on compact pre-quantizable symplectic manifolds

  • Victor Guillemin


We define in this Letter, a notion of ‘representation’ for a star product (equipped with a star-compatible trace) and show that every compact pre-quantizable symplectic manifold admits a representable star product.

Mathematics Subject Classification (1991)



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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Victor Guillemin
    • 1
  1. 1.Department of MathematicsMITCambridgeUSA

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