Linearization and star products
Banach Center Publications (2000)
- Volume: 51, Issue: 1, page 55-60
- ISSN: 0137-6934
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top- [1] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer, Deformation theory and quantization, Lett. Math. Phys. 1 (1977), 521-530. Zbl0377.53025
- [2] M. Bertelson, M. Cahen and S. Gutt, Equivalence of star products. Geometry and physics, Class. Quantum Grav. 14 (1997), A93-A107. Zbl0881.58021
- [3] V. Chloup-Arnould, Groupes de Lie-Poisson, Thèse de l'université de Metz (1996).
- [4] V. Chloup-Arnould, Linearization of some Poisson-Lie tensor, J. of Geometry and Physics 24 (1997), 46-52.
- [5] V. Chloup-Arnould, Star products on the algebra of polynomials on the dual of a semi-simple Lie algebra, Acad. Roy. Belg. Bull. Cl. Sci. (6) 8 (1997), no. 7-12, 263-269.
- [6] M. Cahen, S. Gutt and J. Rawnsley, Non linearizability of the Iwasawa Poisson-Lie structure, Lett. Math. Phys. 24 (1992), 79-83. Zbl0756.58015
- [7] J. F. Conn, Normal forms for analytic Poisson structures, Ann. of Math. 119 (1984), 577-601. Zbl0553.58004
- [8] J. F. Conn, Normal forms for smooth Poisson structures, Ann. of Math. 121 (1985), 565-593. Zbl0592.58025
- [9] V. G. Drinfeld, Hamiltonian structure on Lie groups and the geometric meaning of the classical Yang-Baxter equation, Sov. Math. Dokl. 27 (1) (1983), 68-71.
- [10] J. P. Dufour, Linéarisation de certaines structures de Poisson, J. Differential Geometry 32 (5) (1990), 415-428. Zbl0728.58011
- [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] M. Kontsevich, Deformation quantization of Poisson manifold, I, q-alg 9709040.
- [13] Molinier, Linéarisation de structures de Poisson, thèse de l'université de Montpellier II (1993).
- [14] H. Omori, Y. Maeda and A. Yoshioka, Deformation quantizations of Poisson algebras, Contemp. Math. AMS 179 (1994), 213-240. Zbl0820.58027
- [15] A. Weinstein, The local structure of Poisson manifolds, J. Differential Geometry 18 (1983), 523-557. Zbl0524.58011
- [16] A. Weinstein, Poisson geometry of the principal series and non linearizable structures, J. Differential Geometry 25 (1987), 55-73. Zbl0592.58024