Letters in Mathematical Physics

, Volume 7, Issue 6, pp 487–496

Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds

Authors

  • Marc de Wilde
    • Institut de MathématiqueUniversité de Liège
  • Pierre B. A. Lecomte
    • Institut de MathématiqueUniversité de Liège
Article

DOI: 10.1007/BF00402248

Cite this article as:
de Wilde, M. & Lecomte, P.B.A. Lett Math Phys (1983) 7: 487. doi:10.1007/BF00402248

Abstract

We prove the existence of star-products and of formal deformations of the Poisson Lie algebra of an arbitrary symplectic manifold. Moreover, all the obstructions encountered in the step-wise construction of formal deformations are vanishing.

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Copyright information

© D. Reidel Publishing Company 1983