Kontsevich quantization and invariant distributions on Lie groups
Andler, Martin ; Dvorsky, Alexander ; Sahi, Siddhartha
Annales scientifiques de l'École Normale Supérieure, Tome 35 (2002), p. 371-390 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{ASENS_2002_4_35_3_371_0,
     author = {Andler, Martin and Dvorsky, Alexander and Sahi, Siddhartha},
     title = {Kontsevich quantization and invariant distributions on Lie groups},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {35},
     year = {2002},
     pages = {371-390},
     doi = {10.1016/s0012-9593(02)01093-5},
     mrnumber = {1914002},
     zbl = {1009.22020},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_2002_4_35_3_371_0}
}

Andler, Martin; Dvorsky, Alexander; Sahi, Siddhartha. Kontsevich quantization and invariant distributions on Lie groups. Annales scientifiques de l'École Normale Supérieure, Tome 35 (2002) pp. 371-390. doi : 10.1016/s0012-9593(02)01093-5. http://gdmltest.u-ga.fr/item/ASENS_2002_4_35_3_371_0/

[1] Kontsevich M., Deformation quantization of Poisson manifolds I, e-print, math.QA/9709040. | Zbl 1058.53065

[2] Andler M., Dvorsky A., Sahi S., Deformation quantization and invariant distributions, C. R. Acad. Sci. 330 (2000) 115-120. | MR 1745177 | Zbl 0957.22022

[3] Arnal D., Manchon D., Masmoudi M., Choix des signes pour la formalité de M. Kontsevich, Pacific J. Math. 203 (2002) 23-66. | MR 1895924 | Zbl 1055.53066

[4] Berezin F., The Method of Second Quantization, Academic Press, New York, 1966. | MR 208930 | Zbl 0151.44001

[5] Dewitt B., Supermanifolds, Cambridge Univ. Press, Cambridge, 1992. | MR 1172996 | Zbl 0874.53055

[6] Dixmier J., Algèbres enveloppantes, Gauthier-Villars, Paris, 1974. | MR 498737 | Zbl 0308.17007

[7] Duflo M., Caractères des algèbres de Lie résolubles, C. R. Acad. Sci. 269 (1969) 437-438. | MR 251089 | Zbl 0254.17006

[8] Duflo M., Sur les extensions des représentations irréductibles des groupes de Lie nilpotents, Ann. Sci. École Norm. Sup. 5 (1972) 71-120. | Numdam | MR 302823 | Zbl 0241.22030

[9] Duflo M., Construction of primitive ideals in an enveloping algebra, in: Gelfand I. (Ed.), Lie Groups and their Representations, Adam Hilger Ltd, London, 1975. | MR 399194 | Zbl 0313.17005

[10] Duflo M., Opérateurs différentiels bi-invariants sur un groupe de Lie, Ann. Sci. École Norm. Sup. 10 (1977) 267-288. | Numdam | MR 444841 | Zbl 0353.22009

[11] Duflo M., Rais M., Sur l'analyse harmonique sur les groupes de Lie résolubles, Ann. Sci. École Norm. Sup. 9 (1976) 107-114. | Numdam | Zbl 0324.43011

[12] Fulton W., Macpherson R., Compactification of configuration spaces, Ann. Math. (2) 139 (1994) 183-225. | MR 1259368 | Zbl 0820.14037

[13] Helgason S., The surjectivity of invariant differential operators on a symmetric space, Ann. Math. (2) 98 (1973) 451-479. | MR 367562 | Zbl 0274.43013

[14] Kashiwara M., Vergne M., The Campbell-Hausdorff formula and invariant hyperfunctions, Invent. Math. 47 (1978) 249-272. | MR 492078 | Zbl 0404.22012

[15] Kirillov A.A., Merits and demerits of the orbit method, Bull. Amer. Math. Soc. 36 (1999) 433-488. | MR 1701415 | Zbl 0940.22013

[16] Kontsevich M., private communication.

[17] Kostant B., Graded Manifolds, Graded Lie Theory and Prequantization, Lect. Notes in Math., 570, Springer, Berlin, 1977. | MR 580292 | Zbl 0358.53024

[18] Lewy H., An example of a smooth linear partial differential equation without solution, Ann. Math. (2) 66 (1957) 155-158. | MR 88629 | Zbl 0078.08104

[19] Manin Yu., Gauge Field Theory and Complex Geometry, Springer, Berlin, 1988. | MR 954833 | Zbl 0641.53001

[20] Rais M., Solutions élémentaires des opérateurs différentiels bi-invariants sur un groupe de Lie nilpotent, C. R. Acad. Sci. 273 (1971) 495-498. | MR 289720 | Zbl 0236.46047

[21] Rais M., Opérateurs différentiels bi-invariants (d'après M. Duflo), Lect. Notes in Math., 667, Springer, Berlin, 1978, pp. 125-137. | Numdam | MR 521764 | Zbl 0385.22005

[22] Shoikhet B., Vanishing of the Kontsevich integral of the wheels, e-print, math.QA/0007080. | Zbl 1018.53043