J. Alev and L. Foissy, Le Groupe des Traces de Poisson de Certaines Alg??bres D'invariants, Communications in Algebra, vol.13, issue.1, pp.368-388, 2009.
DOI : 10.1007/s002220100171

J. Alev, M. A. Farinati, T. Lambre, and A. L. Solotar, Homologie des invariants d'une alg??bre de Weyl sous l'action d'un groupe fini, Journal of Algebra, vol.232, issue.2, pp.564-577, 2000.
DOI : 10.1006/jabr.2000.8406
URL : http://doi.org/10.1006/jabr.2000.8406

J. Alev and T. Lambre, Comparaison de l'homologie de Hochschild et de l'homologie de Poisson pour une déformation des surfaces de Klein, Algebra and operator theory, 1997.

L. [. Abellanas and . Martinez-alonso, Quantization from the algebraic viewpoint, Journal of Mathematical Physics, vol.17, issue.8, pp.1363-1365, 1976.
DOI : 10.1063/1.523084

]. M. Bar62 and . Barr, Cohomology of commutative algebras, 1962.

]. Bar68 and H. Homology, Hochschild homology and triples, J.Algebra, vol.8, pp.314-323, 1968.

J. [. Borho and . Brylinski, Differential operators on homogeneous spaces. I, Inventiones Mathematicae, vol.9, issue.3, pp.437-476, 1982.
DOI : 10.1007/BF01389364

Y. Berest, P. Etingof, and V. Ginzburg, Morita equivalence of Cherednik algebras, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2004, issue.568, pp.81-98, 2004.
DOI : 10.1515/crll.2004.020

]. F. Ber75 and . Berezin, General concept of quantization, Commun. Math. Phys, vol.40, pp.153-174, 1975.

]. R. Bez95 and . Bezrukavnikov, Koszul property and Frobenius splitting of Schubert varieties, arXiv :alg-geom/9502021v1, 1995.

C. [. Bayen and . Fronsdal, Quantization on the sphere, Journal of Mathematical Physics, vol.22, issue.7, pp.1345-1349, 1981.
DOI : 10.1063/1.525071

. Bff-+-78-]-f, M. Bayen, C. Flato, A. Fronsdal, D. Lichnerowicz et al., Deformation theory and quantization. I and II, Physics, vol.111, issue.1, pp.61-110, 1978.

V. [. Beilinson, V. Ginsburg, K. Schechtman, and . Duality, Koszul duality, Journal of Geometry and Physics, vol.5, issue.3, pp.317-350, 1988.
DOI : 10.1016/0393-0440(88)90028-9

A. [. Braverman and . Joseph, The Minimal Realization from Deformation Theory, Journal of Algebra, vol.205, issue.1, pp.13-16, 1998.
DOI : 10.1006/jabr.1997.7349

A. [. Bridgeland, M. King, and . Reid, The McKay correspondence as an equivalence of derived categories, Journal of the American Mathematical Society, vol.14, issue.03, pp.535-554, 2001.
DOI : 10.1090/S0894-0347-01-00368-X

H. F. Blichfeldt, Finite collineation groups, The Univ, Bou81] Nicolas Bourbaki, Groupes et algèbres de Lie, 1917.

[. Butin and G. S. Perets, McKay correspondence and the branching law for finite subgroups of SL 3 C, 2009.

J. Brylinsky, A differential complex for Poisson manifolds, Journal of Differential Geometry, vol.28, issue.1, pp.93-114, 1988.
DOI : 10.4310/jdg/1214442161

]. R. Bry98 and . Brylinski, Geometric Quantization of Real Minimal Nilpotent Orbits, Symplectic geometry, Differential Geom, Appl, vol.9, issue.12, pp.5-58, 1998.

R. [. Binegar and . Zierau, Unitarization of a singular representation ofSO(p, q), Communications in Mathematical Physics, vol.48, issue.2, pp.245-258, 1991.
DOI : 10.1007/BF02099491

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

W. [. Collingwood and . Mcgovern, Nilpotent Orbits in Semisimple Lie Algebras, 1993.

[. Concini and C. Procesi, A characteristic free approach to invariant theory, Advances in Mathematics, vol.21, issue.3, pp.330-354, 1976.
DOI : 10.1016/S0001-8708(76)80003-5

]. P. Dir26 and . Dirac, On the theory of quantum mechanics, Proceedings of the Royal Society A, pp.661-677, 1926.

]. J. Dix74 and . Dixmier, Algèbres enveloppantes, 1974.

P. [. Dewilde and . Lecomte, Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds, Lett. Math. Phys, vol.6, pp.487-496, 1983.

M. Duflo, Sur la Classification des Ideaux Primitifs Dans L'algebre Enveloppante d'une Algebre de Lie Semi-Simple, The Annals of Mathematics, vol.105, issue.1, pp.107-120, 1977.
DOI : 10.2307/1971027

S. [. Eilenberg and . Maclane, On the groups H(?, n), I, Ann, Math, vol.58, pp.55-106, 1953.

P. Etingof and T. Schedler, Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2012, issue.667, 2009.
DOI : 10.1515/CRELLE.2011.124

]. B. Fed94 and . Fedosov, A simple geometrical construction of deformation quantization, J. Diff. Geom, vol.40, pp.213-238, 1994.

A. [. Frønsdal and . Galindo, The Ideals of Free Differential Algebras, Journal of Algebra, vol.222, issue.2, pp.708-746, 1999.
DOI : 10.1006/jabr.1999.8076

W. Fulton and J. Harris, Representation Theory : A First Course, Graduate Texts in Mathematics, 1991.

M. [. Frønsdal and . Kontsevich, Quantization on Curves, Letters in Mathematical Physics, vol.50, issue.2, pp.109-129, 2007.
DOI : 10.1007/s11005-006-0137-8

M. [. Fioresi and . Lledo, On the deformation quantization of coadjoint orbits of semisimple Lie groups, Pacific, J. Math, vol.198, issue.2, pp.411-436, 2001.

]. P. Fle71 and . Fleury, Splittings of Hochschild's complex for commutative algebras, Proc. AMS, vol.30, pp.405-323, 1971.

A. [. Fioresi, M. A. Levrero, and . Lledo, Algebraic and differential star products on regular orbits of compact Lie groups, Pacific Journal of Mathematics, vol.206, issue.2, pp.321-337, 2002.
DOI : 10.2140/pjm.2002.206.321

A. [. Flato, D. Lichnerowicz, and . Sternheimer, Déformations 1-différentiables d'algèbres de Lie attachées à une variété symplectique ou de contact, C.R. Acad. Sci. Paris Sér. A, vol.279, pp.877-881, 1974.

M. [. Fioresi, V. S. Lledo, and . Varadarajan, ON THE DEFORMATION QUANTIZATION OF AFFINE ALGEBRAIC VARIETIES, International Journal of Mathematics, vol.16, issue.04, pp.419-436, 2005.
DOI : 10.1142/S0129167X05002898

[. Fresse, Structures de Poisson sur une intersection compl??te ?? singularit??s isol??es, Comptes Rendus Mathematique, vol.335, issue.1, pp.5-10, 2002.
DOI : 10.1016/S1631-073X(02)02423-8

]. C. Frø78 and . Frønsdal, Some ideas about quantization, Rep. Math. Phys, vol.15, pp.111-145, 1978.

]. Frø01, A. Deformations, and . Gruyter, Harrison Cohomology and Abelian Deformation Quantization on Algebraic Varieties, Deformation quantization, IRMA Lect, Proceedings of the IX'th International Conference on Symmetry Methods in Physics :hep-th/0109001v3. [Gar90] A.M. Garsia, Combinatorics of the free Lie algebra and the symmetric group, pp.149-161, 1990.

]. M. Ger63 and . Gerstenhaber, The cohomology structure of an associative ring, Annals of Math, issue.2, pp.78-267, 1963.

R. Sudhir, C. Ghorpade, and . Krattenthaler, The Hilbert Serie of Pfaffien Rings, pp.337-356, 2004.

I. [. Gomi, K. Nakamura, and . Shinoda, Coinvariant Algebras of Finite Subgroups of SL 3 C, Canad, J. Math, vol.56, issue.3, pp.495-528, 2004.

L. Guieu, C. Roger, V. Sergiescu, and L. , Algèbre et le Groupe de Virasoro : aspects géométriques et algébriques, généralisations, Monographies, notes de cours et Actes de conférences, 2007.

S. [. Gerstenhaber and . Schack, A hodge-type decomposition for commutative algebra cohomology, Journal of Pure and Applied Algebra, vol.48, issue.1-2, pp.229-247, 1987.
DOI : 10.1016/0022-4049(87)90112-5

G. [. Gan and . Savin, Uniqueness of Joseph ideal, Mathematical Research Letters, vol.11, issue.5, pp.589-597, 2004.
DOI : 10.4310/MRL.2004.v11.n5.a4

J. [. Gonzalez-sprinberg and . Verdier, Construction géométrique de la correspondance de McKay, Annales scientifiques de l, E. N. S, issue.3, pp.4-16, 1983.

]. S. Gut83 and . Gutt, An explicit star-product on the cotangent bundle of a Lie group, Lett. Math. Phys, vol.7, pp.249-258, 1983.

C. Gasquet and P. Witomski, Analyse de Fourier et applications, 2000.

G. Hochschild, B. Kostant, and A. Rosenberg, Differential forms on regular affine algebras, Transactions of the American Mathematical Society, vol.102, issue.3, pp.383-408, 1962.
DOI : 10.1090/S0002-9947-1962-0142598-8

X. [. Halbout and . Tang, Noncommutative Poisson Structures on Orbifolds, arXiv :math/0606436v2[math, 2006.
DOI : 10.1090/s0002-9947-09-05079-x
URL : http://arxiv.org/abs/math/0606436

J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, 1972.
DOI : 10.1007/978-1-4612-6398-2

Y. Ito and M. Reid, The McKay Correspondence for finite Subgroups of SL(3, C), arXiv :alg-geom/9411010v2, 1996.

]. A. Jos74 and . Joseph, Minimal Realizations and Spectrum Generating Algebras, Commun. math. Phys, vol.36, pp.325-338, 1974.

]. M. Kon99 and . Kontsevich, Operads and motives in deformation quantization, Lett. Math. Phys, vol.48, pp.35-72, 1999.

G. [. Kung and . Rota, The invariant theory of binary forms, Bulletin of the American Mathematical Society, vol.10, issue.1, pp.27-85, 1984.
DOI : 10.1090/S0273-0979-1984-15188-7

Y. Kosmann-schwarzbach, Groupes et symétries, Editions de l'Ecole Polytechnique, 2005.

]. M. Lle01 and . Lledo, Deformation Quantization of Non Regular Orbits of Compact Lie Groups, Lett. Math. Phys, vol.58, pp.57-67, 2001.

]. Lod89 and . Loday, Opérations sur l'homologie cyclique des algèbres commutatives, Invent. math, vol.96, pp.205-230, 1989.

P. Monnier, Poisson cohomology in dimension two, Israel Journal of Mathematics, vol.42, issue.2, pp.189-207, 2002.
DOI : 10.1007/BF02773163

]. J. Moy49, Quantum mechanics as a statistical theory, Proc. Cambridge Phil, pp.99-124, 1949.

H. [. Macfarlane, J. E. Pfeiffer, T. S. Marsden, and . Ratiu, DEVELOPMENT OF A UNIFIED TENSOR CALCULUS FOR THE EXCEPTIONAL LIE ALGEBRAS, Introduction to Mechanics and Symmetry, pp.287-316, 1999.
DOI : 10.1142/S0217751X04017562

A. Pichereau, Cohomologie de Poisson en dimension trois, Comptes Rendus Mathematique, vol.340, issue.2, 2005.
DOI : 10.1016/j.crma.2004.11.020

[. Pinczon, On Two Theorems about Symplectic Reflection Algebras, Letters in Mathematical Physics, vol.100, issue.1, pp.237-253, 2007.
DOI : 10.1007/s11005-007-0190-y
URL : https://hal.archives-ouvertes.fr/hal-00438861

]. G. Rau00 and . Rauch, Les groupes finis et leurs représentations, Editions Ellipses, 2000.

C. Roger, M. Galiou, and A. Tihami, Une cohomologie pour les algèbres de Lie de Poisson quadratiques, Publ. Dépt. Maths. Univ. Claude Bernard -Lyon I, 1990.

]. Roa96 and . Roan, Minimal resolutions of Gorenstein orbifolds in dimension three, Topology, vol.35, pp.489-508, 1996.

P. [. Roger and . Vanhaecke, Poisson Cohomology of the Affine Plane, Journal of Algebra, vol.251, issue.1, pp.448-460, 2002.
DOI : 10.1006/jabr.2002.9147

]. E. Skl82 and . Sklyanin, Some algebraic structures connected with the Yang-Baxter equation, Funct. Anal. Appl, vol.16, pp.263-270, 1982.

[. Sternheimer, Quantization: Deformation and/or Functor?, Letters in Mathematical Physics, vol.40, issue.3, pp.293-309, 2005.
DOI : 10.1007/s11005-005-0028-4

]. B. Stu93 and . Sturmfels, Algorithms in Invariant Theory, Texts and Monographs in Symbolic Computation, 1993.

D. E. Tamarkin, Another proof of M. Kontsevich' formality theorem for R n , math.QA/9803025v4, 1998.

]. A. Tih93 and . Tihami, Une cohomologie pour les algèbres de Poisson quadratiques, 1993.

S. R. and T. Pelap, Poisson (co)homology of polynomial Poisson algebras in dimension four, 2008.

M. Van-den and . Bergh, Noncommutative homology of some three-dimensional quantum spaces, Proceedings of Conference on Algebraic Geometry and Ring Theory in honor of Michael Artin, pp.213-230, 1992.
DOI : 10.1007/BF00960862

]. J. Vey75 and . Vey, Déformation du crochet de Poisson sur une variété symplectique, Comment. Math. Helv, vol.50, pp.421-454, 1975.

]. A. Wei95 and . Weinstein, Deformation quantization, Séminaire Bourbaki Astérisque Exp, vol.94, issue.5, pp.389-409, 1993.

]. H. Wey31 and . Weyl, Theory of Groups and Quantum Mechanics, 1931.

[. Yau and Y. Yu, Gorenstein quotient singularities in dimension three, Memoirs of the American Mathematical Society, vol.105, issue.505, 1993.
DOI : 10.1090/memo/0505