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@article{BUMI_2007_8_10B_2_a6, author = {Ben Amar, Nabiha and Chaabouni, Mouna and Hfaiedh, Mabrouka}, title = {Kontsevich {Deformation} {Quantization} on {Lie} {Algebras}}, journal = {Bollettino della Unione matematica italiana}, pages = {365--379}, publisher = {mathdoc}, volume = {Ser. 8, 10B}, number = {2}, year = {2007}, zbl = {1178.53092}, mrnumber = {2339447}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a6/} }
TY - JOUR AU - Ben Amar, Nabiha AU - Chaabouni, Mouna AU - Hfaiedh, Mabrouka TI - Kontsevich Deformation Quantization on Lie Algebras JO - Bollettino della Unione matematica italiana PY - 2007 SP - 365 EP - 379 VL - 10B IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a6/ LA - en ID - BUMI_2007_8_10B_2_a6 ER -
%0 Journal Article %A Ben Amar, Nabiha %A Chaabouni, Mouna %A Hfaiedh, Mabrouka %T Kontsevich Deformation Quantization on Lie Algebras %J Bollettino della Unione matematica italiana %D 2007 %P 365-379 %V 10B %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a6/ %G en %F BUMI_2007_8_10B_2_a6
Ben Amar, Nabiha; Chaabouni, Mouna; Hfaiedh, Mabrouka. Kontsevich Deformation Quantization on Lie Algebras. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 365-379. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a6/
[AB] Kontsevich's Wheels and Invariant Polynomial Functions on the Dual of Lie Algebras, Lett. Math. Phys., 52 (2000), 291-300. | DOI | MR | Zbl
- ,[ABM] Cohomology of Good Graphs and Kontsevich Linear Star Products, Lett. Math. Phys., 48 (1999). | DOI | MR | Zbl
- - ,[ACG] Deformation on Coadjoint Orbits, J. Geom. Phys., 3 (1986), 327-351. | DOI | MR | Zbl
- - ,[B]1 Tangential Deformations on the Dual of Nilpotent Special Lie Algebras, Pacific Journal of Mathematics, 170, no. 2 (1995), 297-318. | MR | Zbl
,[B]2 K-Star Products on Dual of Lie Algebras, Journal of Lie Theory, 13 (2003), 329-357. | fulltext EuDML | MR | Zbl
,[B]3 A Comparison between Rieffel's and Kontsevich's Deformation Quantizations for Linear Poisson Tensors, To appear in Pacific Journal of Mathematics. | DOI | MR | Zbl
,[BFFLS] Deformation Theory and Quantization, I, II, Ann. of Phys., 111 (1978), 61-151. | DOI | MR | Zbl
- - - - ,[DL] Existence of Star Products and of Formal Deformations of the Poisson Lie Algebras of Arbitary Symplectic Manifold, Lett. Math. Phys., 7 (1983), 487-496. | DOI | MR | Zbl
- ,[F] A Simple Geometrical Construction of Deformation Quantization, J.D.G, 40 (1994), 213-238. | MR
,[K] Deformation Quantization of Poisson Manifolds, I. q-alg/9709040 (1997).
,[OMY] Weyl Manifolds and Deformation Quantization, Adv. in Math., 85 (1991), 225-255. | DOI | MR
- - ,[P] $C^*$-Algebras and their Automorphism Groups, London Math. Soc. Monographs, 14, Academic Press, London, (1979). | MR
,[R]1 Lie Group Convolution Algebras as Deformation Quantizations of Linear Poisson Structures, Amer. J. Math., 112 (1990), 657-686. | DOI | MR | Zbl
[R]2 Deformation Quantization of Heisenberg Manifolds, Comm. Math. Phys., 122 (1989), 531-562. | MR | Zbl
,[R]3 Continuous Fields of $C^*$-Algebras Coming from Group Cocycles and Actions, Math. Ann., 283 (1989), 631-643. | fulltext EuDML | DOI | MR | Zbl
,[S] Vanishing of the Konsevich Integrals of the Wheels, Preprint q.alg/0007080. | DOI | MR | Zbl
,[V] Lie Groups, Lie Algebras and their Representations Prentice-Hall, New Jersey (1974). | MR | Zbl
,[W] The Local Structure of Poisson Manifolds, J. Diff. Geom., 18 (1983) 523-557. | MR | Zbl
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