@article{RCP25_1995__47__193_0, author = {Duval, Christian and Ovsienko, V. Yu.}, title = {Space of Second Order Linear Differential Operators As a Module Over the Lie Algebra of Vector Fields}, journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25}, volume = {47}, year = {1995}, pages = {193-213}, language = {en}, url = {http://dml.mathdoc.fr/item/RCP25_1995__47__193_0} }
Duval, C.; Ovsienko, V. Yu. Space of Second Order Linear Differential Operators As a Module Over the Lie Algebra of Vector Fields. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 47 (1995) pp. 193-213. http://gdmltest.u-ga.fr/item/RCP25_1995__47__193_0/
[1] Quantization and representation theory, in "Proc. Sympos. Pure Math.," Vol. 26, AMS, Providence, 145-165, 1974. | MR 341529 | Zbl 0296.53031
,[2] Leçons sur la théorie des espaces à connexion projective." Gauthier-Villars, Paris, 1937. | JFM 63.0689.05 | Zbl 0016.07603
, "[3] The BRS Method and Geometric Quantization: Some Examples, Comm. Math. Phys. 126 (1990), 535-557. | MR 1032872 | Zbl 0699.58040
, And[4] Homology of the Lie algebra of vector fields on the line, Func. Anal Appl. 14 (1980), 201-212. | MR 583800 | Zbl 0487.57011
, ,[5] Cohomology of infinite-dimensional Lie algebras," Consultants Bureau, New York, 1987. | MR 874337 | Zbl 0667.17005
, "[6] Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments, in "Lecture Notes in Math." Vol. 970, Springer-Verlag, 1982. | MR 699803 | Zbl 0498.22017
,[7] Geometric Quantization, in "Encyclopedia of Math. Sci.," Vol. 4, Springer-Verlag, 1990. | Zbl 0780.58024
,[8] Invariant Differential Operators over Geometric Quantities, in "Modern Problems in Mathematics," VINITI (in Russian), Vol. 16, 1980.
,[9] Quantization and Unitary Representations, in "Lecture Notes in Math.," Springer-Verlag, Vol. 170, 1970. | MR 294568 | Zbl 0223.53028
,[10] Symplectic Spinors, in "Symposia Math.," Vol. 14, London, Acad. Press, 1974. | MR 400304 | Zbl 0321.58015
,[11] Comparison of some modules of the Lie algebra of vector fields, Preprint Univ. of Liège, 1995. 212 | Zbl 0892.58002
, , ,[12] Lie derivative of order n on a line. Tensor meaning of the Gelfand-Dickey bracket, in "Adv. in Soviet Math." Vol. 2, 1991. | MR 1104942 | Zbl 0753.58008
, ,[13] A nonunitary pairing of polarizations for the Kepler problem, Trans. AMS 250 (1979), 167-180. | MR 530048 | Zbl 0422.58019
,[14] Irreducible representations of infinite-dimensional Lie algebras of Cartan type, Math. USSR Izvestija 8 (1974), 836-866. | MR 360732 | Zbl 0322.17004
,[15] Geometric quantization and quantum mechanics," Springer-Verlag, Berlin, 1980. | MR 554085 | Zbl 0429.58007
, "[16] Structure des systèmes dynamiques," Paris, Dunod, © 1969 | Zbl 0186.58001
, "[16] Structure des systèmes dynamiques," Paris, Dunod, ©1970. | MR 260238 | Zbl 0186.58001
, "[17] Geometric Quantization," Clarendon Press, Oxford, 1992. | MR 1183739 | Zbl 0747.58004
, "