Linearization and star products

Veronique Chloup

Banach Center Publications (2000)

  • Volume: 51, Issue: 1, page 55-60
  • ISSN: 0137-6934

Abstract

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The aim of this paper is to give an overview concerning the problem of linearization of Poisson structures, more precisely we give results concerning Poisson-Lie groups and we apply those cohomological techniques to star products.

How to cite

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Chloup, Veronique. "Linearization and star products." Banach Center Publications 51.1 (2000): 55-60. <http://eudml.org/doc/209043>.

@article{Chloup2000,
abstract = {The aim of this paper is to give an overview concerning the problem of linearization of Poisson structures, more precisely we give results concerning Poisson-Lie groups and we apply those cohomological techniques to star products.},
author = {Chloup, Veronique},
journal = {Banach Center Publications},
keywords = {Poisson structures; Poisson-Lie groups; star products},
language = {eng},
number = {1},
pages = {55-60},
title = {Linearization and star products},
url = {http://eudml.org/doc/209043},
volume = {51},
year = {2000},
}

TY - JOUR
AU - Chloup, Veronique
TI - Linearization and star products
JO - Banach Center Publications
PY - 2000
VL - 51
IS - 1
SP - 55
EP - 60
AB - The aim of this paper is to give an overview concerning the problem of linearization of Poisson structures, more precisely we give results concerning Poisson-Lie groups and we apply those cohomological techniques to star products.
LA - eng
KW - Poisson structures; Poisson-Lie groups; star products
UR - http://eudml.org/doc/209043
ER -

References

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  11. [11] S. Gutt, On the second Hochschild cohomology spaces for algebras of functions on a manifold, L.M.P. 39 (1997), 157-162. Zbl0874.16008
  12. [12] M. Kontsevich, Deformation quantization of Poisson manifold, I, q-alg 9709040. 
  13. [13] Molinier, Linéarisation de structures de Poisson, thèse de l'université de Montpellier II (1993). 
  14. [14] H. Omori, Y. Maeda and A. Yoshioka, Deformation quantizations of Poisson algebras, Contemp. Math. AMS 179 (1994), 213-240. Zbl0820.58027
  15. [15] A. Weinstein, The local structure of Poisson manifolds, J. Differential Geometry 18 (1983), 523-557. Zbl0524.58011
  16. [16] A. Weinstein, Poisson geometry of the principal series and non linearizable structures, J. Differential Geometry 25 (1987), 55-73. Zbl0592.58024

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