@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},
year = {2002},
publisher = {Elsevier},
volume = {Ser. 4, 35},
number = {3},
doi = {10.1016/s0012-9593(02)01093-5},
mrnumber = {1914002},
zbl = {1009.22020},
language = {en},
url = {https://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 - https://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 https://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
[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. | Zbl | MR
[3] , , , Choix des signes pour la formalité de M. Kontsevich, Pacific J. Math. 203 (2002) 23-66. | Zbl | MR
[4] , The Method of Second Quantization, Academic Press, New York, 1966. | Zbl | MR
[5] , Supermanifolds, Cambridge Univ. Press, Cambridge, 1992. | Zbl | MR
[6] , Algèbres enveloppantes, Gauthier-Villars, Paris, 1974. | Zbl | MR
[7] , Caractères des algèbres de Lie résolubles, C. R. Acad. Sci. 269 (1969) 437-438. | Zbl | MR
[8] , Sur les extensions des représentations irréductibles des groupes de Lie nilpotents, Ann. Sci. École Norm. Sup. 5 (1972) 71-120. | Zbl | MR | Numdam
[9] , Construction of primitive ideals in an enveloping algebra, in: (Ed.), Lie Groups and their Representations, Adam Hilger Ltd, London, 1975. | Zbl | MR
[10] , Opérateurs différentiels bi-invariants sur un groupe de Lie, Ann. Sci. École Norm. Sup. 10 (1977) 267-288. | Zbl | MR | Numdam
[11] , , Sur l'analyse harmonique sur les groupes de Lie résolubles, Ann. Sci. École Norm. Sup. 9 (1976) 107-114. | Zbl | Numdam
[12] , , Compactification of configuration spaces, Ann. Math. (2) 139 (1994) 183-225. | Zbl | MR
[13] , The surjectivity of invariant differential operators on a symmetric space, Ann. Math. (2) 98 (1973) 451-479. | Zbl | MR
[14] , , The Campbell-Hausdorff formula and invariant hyperfunctions, Invent. Math. 47 (1978) 249-272. | Zbl | MR
[15] , Merits and demerits of the orbit method, Bull. Amer. Math. Soc. 36 (1999) 433-488. | Zbl | MR
[16] Kontsevich M., private communication.
[17] , Graded Manifolds, Graded Lie Theory and Prequantization, Lect. Notes in Math., 570, Springer, Berlin, 1977. | Zbl | MR
[18] , An example of a smooth linear partial differential equation without solution, Ann. Math. (2) 66 (1957) 155-158. | Zbl | MR
[19] , Gauge Field Theory and Complex Geometry, Springer, Berlin, 1988. | Zbl | MR
[20] , Solutions élémentaires des opérateurs différentiels bi-invariants sur un groupe de Lie nilpotent, C. R. Acad. Sci. 273 (1971) 495-498. | Zbl | MR
[21] , Opérateurs différentiels bi-invariants (d'après M. Duflo), Lect. Notes in Math., 667, Springer, Berlin, 1978, pp. 125-137. | Zbl | MR | Numdam
[22] , Vanishing of the Kontsevich integral of the wheels, e-print, math.QA/0007080. | Zbl
Cité par Sources :






