@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}, pages = {371--390}, publisher = {Elsevier}, volume = {Ser. 4, 35}, number = {3}, year = {2002}, doi = {10.1016/s0012-9593(02)01093-5}, mrnumber = {1914002}, zbl = {1009.22020}, language = {en}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(02)01093-5/} }
TY - JOUR AU - Andler, Martin AU - Dvorsky, Alexander AU - Sahi, Siddhartha TI - Kontsevich quantization and invariant distributions on Lie groups JO - Annales scientifiques de l'École Normale Supérieure PY - 2002 SP - 371 EP - 390 VL - 35 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(02)01093-5/ DO - 10.1016/s0012-9593(02)01093-5 LA - en ID - ASENS_2002_4_35_3_371_0 ER -
%0 Journal Article %A Andler, Martin %A Dvorsky, Alexander %A Sahi, Siddhartha %T Kontsevich quantization and invariant distributions on Lie groups %J Annales scientifiques de l'École Normale Supérieure %D 2002 %P 371-390 %V 35 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(02)01093-5/ %R 10.1016/s0012-9593(02)01093-5 %G en %F 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, Série 4, Tome 35 (2002) no. 3, pp. 371-390. doi : 10.1016/s0012-9593(02)01093-5. http://www.numdam.org/articles/10.1016/s0012-9593(02)01093-5/
[1] Deformation quantization of Poisson manifolds I, e-print, math.QA/9709040. | Zbl
,[2] Deformation quantization and invariant distributions, C. R. Acad. Sci. 330 (2000) 115-120. | MR | Zbl
, , ,[3] Choix des signes pour la formalité de M. Kontsevich, Pacific J. Math. 203 (2002) 23-66. | MR | Zbl
, , ,[4] The Method of Second Quantization, Academic Press, New York, 1966. | MR | Zbl
,[5] Supermanifolds, Cambridge Univ. Press, Cambridge, 1992. | MR | Zbl
,[6] Algèbres enveloppantes, Gauthier-Villars, Paris, 1974. | MR | Zbl
,[7] Caractères des algèbres de Lie résolubles, C. R. Acad. Sci. 269 (1969) 437-438. | MR | Zbl
,[8] Sur les extensions des représentations irréductibles des groupes de Lie nilpotents, Ann. Sci. École Norm. Sup. 5 (1972) 71-120. | Numdam | MR | Zbl
,[9] Construction of primitive ideals in an enveloping algebra, in: (Ed.), Lie Groups and their Representations, Adam Hilger Ltd, London, 1975. | MR | Zbl
,[10] Opérateurs différentiels bi-invariants sur un groupe de Lie, Ann. Sci. École Norm. Sup. 10 (1977) 267-288. | Numdam | MR | Zbl
,[11] Sur l'analyse harmonique sur les groupes de Lie résolubles, Ann. Sci. École Norm. Sup. 9 (1976) 107-114. | Numdam | Zbl
, ,[12] Compactification of configuration spaces, Ann. Math. (2) 139 (1994) 183-225. | MR | Zbl
, ,[13] The surjectivity of invariant differential operators on a symmetric space, Ann. Math. (2) 98 (1973) 451-479. | MR | Zbl
,[14] The Campbell-Hausdorff formula and invariant hyperfunctions, Invent. Math. 47 (1978) 249-272. | MR | Zbl
, ,[15] Merits and demerits of the orbit method, Bull. Amer. Math. Soc. 36 (1999) 433-488. | MR | Zbl
,[16] Kontsevich M., private communication.
[17] Graded Manifolds, Graded Lie Theory and Prequantization, Lect. Notes in Math., 570, Springer, Berlin, 1977. | MR | Zbl
,[18] An example of a smooth linear partial differential equation without solution, Ann. Math. (2) 66 (1957) 155-158. | MR | Zbl
,[19] Gauge Field Theory and Complex Geometry, Springer, Berlin, 1988. | MR | Zbl
,[20] Solutions élémentaires des opérateurs différentiels bi-invariants sur un groupe de Lie nilpotent, C. R. Acad. Sci. 273 (1971) 495-498. | MR | Zbl
,[21] Opérateurs différentiels bi-invariants (d'après M. Duflo), Lect. Notes in Math., 667, Springer, Berlin, 1978, pp. 125-137. | Numdam | MR | Zbl
,[22] Vanishing of the Kontsevich integral of the wheels, e-print, math.QA/0007080. | Zbl
,Cité par Sources :