M. Andler, A. Dvorsky, and S. Sahi, Kontsevich quantization and invariant distributions on Lie groups, Annales Scientifiques de l?????cole Normale Sup??rieure, vol.35, issue.3, p.9905065
DOI : 10.1016/S0012-9593(02)01093-5
URL : https://hal.archives-ouvertes.fr/hal-00689885

D. Arnal, N. B. Amar, and M. Masmoudi, Cohomology of good graphs and Kontsevich linear star products, Letters in Mathematical Physics, vol.48, issue.4, pp.291-306, 1999.
DOI : 10.1023/A:1007618914771

D. Arnal, M. Cahen, and S. Gutt, Deformations on coadjoint orbits, Journal of Geometry and Physics, vol.3, issue.3, pp.327-351, 1986.
DOI : 10.1016/0393-0440(86)90013-6

D. Arnal, D. Arnal, and J. Cortet, ??? products and representations of nilpotent groups, Pacific Journal of Mathematics, vol.114, issue.2, pp.285-308, 1984.
DOI : 10.2140/pjm.1984.114.285

D. Arnal, J. Cortet, D. Arnal, and S. Gutt, Nilpotent Fourier transform and applications, Décomposition de L 2 (G) et transformation de Fourier adaptée pour un groupe G nilpotent, C. R. Acad, pp.25-34, 1985.
DOI : 10.1007/BF00398548

D. Arnal, J. Cortet, P. Molin, and G. Pinczon, Covariance and geometrical invariance in star quantization, Journ. of Math. Phys, pp.24-276, 1983.
URL : https://hal.archives-ouvertes.fr/hal-00439230

D. Arnal, J. Ludwig, and M. Masmoudi, D??formations covariantes sur les orbites polaris??es d'un groupe de Lie, Journal of Geometry and Physics, vol.14, issue.4, pp.309-331, 1994.
DOI : 10.1016/0393-0440(94)90039-6

H. Basart, M. Flato, A. Lichnerowicz, and D. Sternheimer, Deformation theory applied to quantization and statistical mechanics, Letters in Mathematical Physics, vol.299, issue.6, pp.483-494, 1984.
DOI : 10.1007/BF00400978

F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Quantum mechanics as a deformation of classical mechanics, Letters in Mathematical Physics, vol.275, issue.6, pp.521-530, 1977.
DOI : 10.1007/BF00399745

F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Deformation theory and quantization. II. Physical applications, Annals of Physics, vol.111, issue.1, pp.111-151, 1978.
DOI : 10.1016/0003-4916(78)90225-7

F. A. Berezin, General concept of quantization, Communications in Mathematical Physics, vol.31, issue.2, pp.153-174, 1975.
DOI : 10.1007/BF01609397

M. Bertelson-de-licence, U. L. , M. Bertelson, M. Cahen, and S. Gutt, Equivalence de produits star Mémoire Equivalence of star products, Class. Quan. Grav, pp.14-93, 1995.

M. Bertelson, P. Bieliavsky, and S. Gutt, Parametrizing equivalence classes of invariant star products, Letters in Mathematical Physics, vol.46, issue.4, pp.339-345, 1998.
DOI : 10.1023/A:1007598606137

F. Bidegain and G. Pinczon, Quantization of Poisson-Lie groups and applications, Communications in Mathematical Physics, vol.92, issue.no. 4, pp.295-332, 1996.
DOI : 10.1007/BF02102591
URL : https://hal.archives-ouvertes.fr/hal-00441409

F. Bidegain and G. Pinczon, A star-product approach to noncompact quantum groups, Letters in Mathematical Physics, vol.111, issue.3, pp.231-240, 1995.
DOI : 10.1007/BF00749624
URL : https://hal.archives-ouvertes.fr/hal-00442037

P. Bonneau, M. Flato, M. Gerstenhaber, and G. Pinczon, The hidden group structure of quantum groups: Strong duality, rigidity and preferred deformations, Communications in Mathematical Physics, vol.111, issue.1, pp.161-125, 1994.
DOI : 10.1007/BF02099415
URL : https://hal.archives-ouvertes.fr/hal-00441408

P. Bonneau, Fedosov star products and one-differentiable deformations, Letters in Mathematical Physics, vol.45, issue.4, pp.363-376, 1998.
DOI : 10.1023/A:1007525514810

M. Bordemann, H. Herbig, and S. Waldmann, BRST Cohomology and Phase Space Reduction in Deformation Quantization, Communications in Mathematical Physics, vol.210, issue.1, pp.107-144, 2000.
DOI : 10.1007/s002200050774

M. Bordemann, E. Meinrenken, and M. Schlichenmaier, Toeplitz quantization of Kähler manifolds and gl(N)N ? ? limit, Comm. in Math. Phys, pp.165-281, 1994.

M. Bordemann, N. Neumaier, and S. Waldmann, Homogeneous Fedosov Star Products on Cotangent Bundles I: Weyl and Standard Ordering with Differential Operator Representation, Communications in Mathematical Physics, vol.198, issue.2, pp.363-396, 1998.
DOI : 10.1007/s002200050481

M. Bordemann, N. Neumaier, and S. Waldmann, Homogeneous Fedosov star products on cotangent bundles II: GNS representations, the WKB expansion, traces, and applications, Journal of Geometry and Physics, vol.29, issue.3, pp.199-234, 1999.
DOI : 10.1016/S0393-0440(98)00041-2

M. Bordemann, H. Römer, and S. Waldmann, A remark on formal KMS states in deformation quantization, Letters in Mathematical Physics, vol.45, issue.1, pp.49-61, 1998.
DOI : 10.1023/A:1007481019610

H. Bursztyn and S. Waldmann, Deformation quantization of hermitian vector bundles, Letters in Mathematical Physics, vol.53, issue.4, pp.349-365, 2000.
DOI : 10.1023/A:1007661703158

H. Bursztyn and S. Waldmann, The characteristic classes of Morita equivalent star products on symplectic manifolds Comm, Math. Phys, pp.103-121, 2002.

H. Bursztyn and S. Waldmann, Bimodule deformations, Picard groups and contravariant connections K?Theory, pp.31-32, 2004.
DOI : 10.1023/b:kthe.0000021354.07931.64
URL : http://arxiv.org/abs/math/0207255

M. Cahen, M. De-wilde, and S. Gutt, Local cohomology of the algebra of C ??? functions on a connected manifold, Letters in Mathematical Physics, vol.50, issue.2, pp.157-167, 1980.
DOI : 10.1007/BF00316669

M. Cahen, M. Flato, S. Gutt, and D. Sternheimer, Do different deformations lead to the same spectrum?, Journal of Geometry and Physics, vol.2, issue.1, pp.35-48, 1985.
DOI : 10.1016/0393-0440(85)90018-X

M. Cahen and S. Gutt, Regular * representations of lie algebras, Letters in Mathematical Physics, vol.50, issue.5, pp.395-404, 1982.
DOI : 10.1007/BF00419321

M. Cahen and S. Gutt, Produits * sur les orbites des groupes semi-simples de rang 1 and An algebraic construction of * product on the regular orbits of semisimple Lie groups, C.R. Acad. Sc. Paris Bibliopolis Ed. Naples, vol.296, pp.821-823, 1983.

M. Cahen and S. Gutt, Produits * sur les espaces affins symplectiques localement symétriques, C.R. Acad. Sc. Paris, vol.297, pp.417-420, 1983.

M. Cahen, S. Gutt, and J. Rawnsley, On tangential star products for the coadjoint Poisson structure, Communications in Mathematical Physics, vol.18, issue.1, pp.99-108, 1996.
DOI : 10.1007/BF02101183

A. Cattaneo and G. Felder, A Path Integral Approach??to the Kontsevich Quantization Formula, Communications in Mathematical Physics, vol.212, issue.3, pp.591-611, 2000.
DOI : 10.1007/s002200000229

A. Cattaneo, G. Felder, and L. Tomassini, From local to global deformation quantization of Poisson manifolds, Duke Math J, 2001.

A. Cattaneo and G. Felder, On the globalization of Kontsevich's star product and the perturbative sigma model, Prog. Theor. Phys, pp.38-53, 2001.

V. Chloup, Star products on the algebra of polynomials on the dual of a semisimple Lie algebra, Acad. Roy. Belg. Bull. Cl. Sci, vol.8, pp.263-269, 1997.

A. Connes, Non commutative differential geometry, IHES Publ, Math, vol.62, pp.257-360, 1985.

A. Connes, M. Flato, and D. Sternheimer, Closed star products and cyclic cohomology, Letters in Mathematical Physics, vol.20, issue.2, pp.1-12, 1992.
DOI : 10.1007/BF00429997

P. Deligne, Déformations de l'Algèbre des Fonctions d'une Variété Symplectique: Comparaison entre Fedosov et De Wilde Lecomte, Selecta Math. (New series), pp.667-697, 1995.

M. D. Wilde, Deformations of the algebra of functions on a symplectic manifold: a simple cohomological approach, 1996.

M. , D. Wilde, and P. Lecomte, Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds, Lett. Math. Phys, vol.7, pp.487-496, 1983.

M. , D. Wilde, and P. Lecomte, Formal deformations of the Poisson Lie algebra of a symplectic manifold and star products: existence, equivalence, derivations , in Deformation Theory of Algebras and Structures and Applications, pp.897-960, 1988.

M. De-wilde, S. Gutt, and P. B. Lecomte, A propos desdeuxì eme ettroisì eme espaces de cohomologie de l

G. Dito, Kontsevich star product on the dual of a Lie algebra, Letters in Mathematical Physics, vol.48, issue.4, pp.307-322, 1999.
DOI : 10.1023/A:1007643618406

G. Dito, Star-product approach to quantum field theory: The free scalar field, Letters in Mathematical Physics, vol.20, issue.61, pp.125-134, 1990.
DOI : 10.1007/BF00398277

G. Dito, An example of cancellation of infinities in the star-quantization of fields, Letters in Mathematical Physics, vol.13, issue.1, pp.73-80, 1993.
DOI : 10.1007/BF00739591

V. G. Drinfeld, Quantum Groups, Proc. ICM86, pp.101-110, 1987.

B. V. Fedosov, A simple geometrical construction of deformation quantization, Journal of Differential Geometry, vol.40, issue.2, pp.213-238, 1994.
DOI : 10.4310/jdg/1214455536

B. V. Fedosov, Deformation quantization and index theory, Mathematical Topics, vol.9, 1996.

B. V. Fedosov, The index theorem for deformation quantization Boundary value problems, Schrödinger operators, deformation quantization, Mathematical Topics, vol.8, pp.206-318, 1996.

B. V. Fedosov, Non abelian reduction in deformation quantization, Letters in Mathematical Physics, vol.43, issue.2, pp.137-154, 1998.
DOI : 10.1023/A:1007451214380

B. V. Fedosov, On G-Trace and G-Index in deformation quantization

G. Felder and B. Shoikhet, Deformation quantization with traces, Letters in Mathematical Physics, vol.53, issue.1, pp.75-86, 2000.
DOI : 10.1023/A:1026577414320

R. Fioresi and M. A. Lledo, On the deformation quantization of coadjoint orbits of semisimple groups, Pacific Journal of Mathematics, vol.198, issue.2
DOI : 10.2140/pjm.2001.198.411

M. Flato, Deformation view of physical theories, Czec, J. Phys, vol.32, pp.472-475, 1982.

M. Flato, A. Lichnerowicz, and D. Sternheimer, Déformations 1-différentiables d'algèbres de Lie attachéesattachéesà une variété symplectique ou de contact, and Compositio Math, pp.877-881, 1974.

M. Flato, A. Lichnerowicz, and D. Sternheimer, Crochet de Moyal?Vey et quantification, C. R. Acad. Sci. Paris I Math, vol.283, pp.19-24, 1976.

M. Gerstenhaber, On the Deformation of Rings and Algebras, The Annals of Mathematics, vol.79, issue.1, pp.59-103, 1964.
DOI : 10.2307/1970484

S. Gutt, Equivalence of deformations and associated *-products, Letters in Mathematical Physics, vol.50, issue.4, pp.297-309, 1979.
DOI : 10.1007/BF01821850

S. Gutt, Second ettroisì eme espaces de cohomologie différentiable de l'algèbre de Lie de Poisson d'une variété symplectique, Ann. Inst. H. Poincaré Sect. A (N.S.), vol.33, pp.1-31, 1980.

S. Gutt, An explicit *-product on the cotangent bundle of a Lie group, Letters in Mathematical Physics, vol.50, issue.3, pp.249-258, 1983.
DOI : 10.1007/BF00400441

S. Gutt, On some second Hochschild cohomology spaces for algebras of functions on a manifold, Letters in Mathematical Physics, vol.39, issue.2, pp.157-162, 1997.
DOI : 10.1023/A:1007330711440

S. Gutt and J. Rawnsley, Equivalence of star products on a symplectic manifold; an introduction to Deligne's ??ech cohomology classes, Journal of Geometry and Physics, vol.29, issue.4, pp.29-347, 1999.
DOI : 10.1016/S0393-0440(98)00045-X

S. Gutt and J. Rawnsley, Natural star products on symplectic manifolds and quantum moment maps, to appear in Lett, Math . Phys

G. Halbout, Deformation Quantization, IRMA Lectures in Math. and Theor . Phys, 2002.
DOI : 10.1515/9783110866223

K. Hamachi, A new invariant for G-invariant star products, Letters in Mathematical Physics, vol.50, issue.2, pp.145-155, 1999.
DOI : 10.1023/A:1007664810790

K. Hamachi, QUANTUM MOMENT MAPS AND INVARIANTS FOR G-INVARIANT STAR PRODUCTS, Reviews in Mathematical Physics, vol.14, issue.06, pp.601-621, 2002.
DOI : 10.1142/S0129055X02001314

K. Hamachi, Differentiability of quantum moment maps, math.QA, 210044.

A. Karabegov, Berezin's quantization on flag manifolds and spherical modules, Trans. Amer. Math. Soc, vol.359, pp.1467-1479, 1998.

A. Karabegov, Cohomological classification of deformation quantisations with separation of variables, Letters in Mathematical Physics, vol.43, issue.4, pp.347-357, 1998.
DOI : 10.1023/A:1007492515449

A. Karabegov, On the canonical normalisation of a trace density of deformation quantization, Letters in Mathematical Physics, vol.45, issue.3, pp.217-228, 1999.
DOI : 10.1023/A:1007489220519

A. Karabegov and M. Schlichenmaier, Identification of Berezin-Toeplitz deformation quantization, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2001, issue.540, pp.49-76, 2001.
DOI : 10.1515/crll.2001.086

V. Kathotia, Kontsevich universal formula for deformation quantization and the CBH formula

M. Kontsevich, Deformation Quantization of Poisson Manifolds, Letters in Mathematical Physics, vol.66, issue.3, pp.157-216, 2003.
DOI : 10.1023/B:MATH.0000027508.00421.bf

M. Kontsevich, Deformation quantization of algebraic varieties, Letters in Mathematical Physics, vol.56, issue.3, pp.271-294, 2001.
DOI : 10.1023/A:1017957408559

O. Kravchenko, Deformation quantization of symplectic fibrations, Compositio Mathematica, vol.123, issue.2, pp.131-165, 2000.
DOI : 10.1023/A:1002452002677

P. B. Lecomte, Application of the cohomology of graded Lie algebras to formal deformations of Lie Algebras, Letters in Mathematical Physics, vol.28, issue.2, pp.157-166, 1987.
DOI : 10.1007/BF00955206

A. Lichnerowicz, Cohomologie 1-différentiable des algèbres de Lie attachéesattachéesà une variété symplectique ou de contact, Journ. Math. pures et appl, vol.53, pp.459-484, 1974.

A. Lichnerowicz, Existence and equivalence of twisted products on a symplectic manifold, Letters in Mathematical Physics, vol.3, issue.6, pp.495-502, 1979.
DOI : 10.1007/BF00401931

A. Lichnerowicz, Déformations d'algèbres associéesassociéesà une variété symplectique (les * ? -produits), pp.157-209, 1982.

M. Masmoudi, Tangential formal deformations of the Poisson bracket and tangential star products on a regular Poisson manifold, Journal of Geometry and Physics, vol.9, issue.2, pp.155-171, 1992.
DOI : 10.1016/0393-0440(92)90018-V

C. Moreno and P. Ortega-navarro, *-Products on D 1 (?), S 2 and related spectral analysis, Letters in Mathematical Physics, vol.40, issue.3, pp.181-193, 1983.
DOI : 10.1007/BF00400432

C. Moreno, *-Products on some K???hler manifolds, Letters in Mathematical Physics, vol.71, issue.4, pp.361-372, 1986.
DOI : 10.1007/BF00574162

M. Müller and N. Neumaier, Some Remarks on g-invariant Fedosov Star Products and Quantum Momentum Mappings, math, 301101.

F. Nadaud, On continuous and differential Hochschild cohomology, Letters in Mathematical Physics, vol.47, issue.1, pp.85-95, 1999.
DOI : 10.1023/A:1007574526283

O. M. Neroslavsky and A. T. Vlassov, Sur les déformations de l'algèbre des fonctions d'une variété symplectique, C. R. Acad. Sci. Paris Sér. I Math, vol.292, pp.71-76, 1981.

R. Nest and B. Tsygan, Algebraic index theorem for families, Advances in Math, pp.151-205, 1995.

R. Nest and B. Tsygan, Algebraic index theorem, Communications in Mathematical Physics, vol.300, issue.2, pp.223-262, 1995.
DOI : 10.1007/BF02099427

N. Neumaier, Local ?-Euler Derivations and Deligne's Characteristic Class of Fedosov Star Products and Star Products of Special Type, p.9905176

H. Omori, Y. Maeda, and A. Yoshioka, Weyl manifolds and deformation quantization, Advances in Mathematics, vol.85, issue.2, pp.224-255, 1991.
DOI : 10.1016/0001-8708(91)90057-E

H. Omori, Y. Maeda, and A. Yoshioka, The uniqueness of star-products on P n (C), Differential geometry, pp.170-176, 1991.

H. Omori, Y. Maeda, and A. Yoshioka, Existence of a closed star product, Letters in Mathematical Physics, vol.7, issue.4, pp.285-294, 1992.
DOI : 10.1007/BF00420238

H. Omori, Y. Maeda, and A. Yoshioka, Deformation quantizations of Poisson algebras, symplectic geometry and quantization (Sanda and Yokohama, 1993) Contemp. Math, pp.179-213, 1994.

H. Omori, Y. Maeda, N. Niyazaki, and A. Yoshioka, An example of strict Fréchet deformation quantization, 1999.

G. Pinczon, On the equivalence between continuous and differential deformation theories, Letters in Mathematical Physics, vol.39, issue.2, pp.143-156, 1997.
DOI : 10.1023/A:1007376107379
URL : https://hal.archives-ouvertes.fr/hal-00442034

D. Rauch, Equivalence de produits star et classes de Deligne, Mémoire de Licence U.L.B, 1998.

J. Rawnsley, M. Cahen, and S. Gutt, Quantization of K??hler manifolds I: geometric interpretation of Berezin's quantization, Journal of Geometry and Physics, vol.7, issue.1, pp.45-62, 1990.
DOI : 10.1016/0393-0440(90)90019-Y

N. Reshetikhin and L. Takhtajan, Deformation quantization of Kähler manifolds

D. Sternheimer, Phase-space representations Applications of group theory in physics and mathematical physics, Lect. in Appl. Math. Amer. Math. Soc., Providence RI, vol.21, pp.255-267, 1982.

D. Sternheimer, Deformation quantization: Twenty years after, Particles, fields and gravitation, pp.107-1459809056, 1998.
DOI : 10.1063/1.57093

D. Tamarkin, Quantization of Poisson structures on R 2, p.9705007

D. Tamarkin, Another proof of M. Kontsevich formality theorem, preprint math/9803025, and Formality of chain operad of small squares, p.9809164

J. Vey, D??formation du crochet de poisson sur une vari??t?? symplectique, Commentarii Mathematici Helvetici, vol.50, issue.1, pp.421-454, 1975.
DOI : 10.1007/BF02565761

A. Weinstein, Deformation quantization, Séminaire Bourbaki 95, Astérisque, vol.227, pp.389-409, 1995.

A. Weinstein and P. Xu, Hochschild cohomology and characteristic classes for star-products, preprint q-alg

P. Xu, Fedosov *-Products and Quantum Momentum Maps, Communications in Mathematical Physics, vol.197, issue.1, pp.167-197, 1998.
DOI : 10.1007/s002200050446