Space of Second Order Linear Differential Operators As a Module Over the Lie Algebra of Vector Fields
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de M. Audin, D. Bernard, A. Bilal, B. Enriquez, E. Frenkel, F. Golse, M. Katz, R. Lawrence, O. Mathieu, P. Von Moerbeke, V. Ovsienko, N. Reshetikhin, S. Theisen, Tome 47 (1995), Exposé no. 8, 21 p. 
@article{RCP25_1995__47__193_0,
     author = {Duval, C. 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},
     note = {talk:8},
     pages = {193--213},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {47},
     year = {1995},
     language = {en},
     url = {http://archive.numdam.org/item/RCP25_1995__47__193_0/}
}
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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, Conférences de M. Audin, D. Bernard, A. Bilal, B. Enriquez, E. Frenkel, F. Golse, M. Katz, R. Lawrence, O. Mathieu, P. Von Moerbeke, V. Ovsienko, N. Reshetikhin, S. Theisen, Tome 47 (1995), Exposé no. 8, 21 p. http://archive.numdam.org/item/RCP25_1995__47__193_0/

[1] R. J. Blattner, Quantization and representation theory, in "Proc. Sympos. Pure Math.," Vol. 26, AMS, Providence, 145-165, 1974. | MR | Zbl

[2] E. Cartan, "Leçons sur la théorie des espaces à connexion projective." Gauthier-Villars, Paris, 1937. | JFM | Zbl

[3] C. Duval, J. Elhadad And G. M. Tuynman, The BRS Method and Geometric Quantization: Some Examples, Comm. Math. Phys. 126 (1990), 535-557. | MR | Zbl

[4] B. L. Feigin, D. B. Fuks, Homology of the Lie algebra of vector fields on the line, Func. Anal Appl. 14 (1980), 201-212. | MR | Zbl

[5] D. B. Fuks, "Cohomology of infinite-dimensional Lie algebras," Consultants Bureau, New York, 1987. | MR | Zbl

[6] A. A. Kirillov, Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments, in "Lecture Notes in Math." Vol. 970, Springer-Verlag, 1982. | MR | Zbl

[7] A. A. Kirlllov, Geometric Quantization, in "Encyclopedia of Math. Sci.," Vol. 4, Springer-Verlag, 1990. | Zbl

[8] A. A. Kirlllov, Invariant Differential Operators over Geometric Quantities, in "Modern Problems in Mathematics," VINITI (in Russian), Vol. 16, 1980.

[9] B. Kostant, Quantization and Unitary Representations, in "Lecture Notes in Math.," Springer-Verlag, Vol. 170, 1970. | MR | Zbl

[10] B. Kostant, Symplectic Spinors, in "Symposia Math.," Vol. 14, London, Acad. Press, 1974. | MR | Zbl

[11] P.B.A. Lecomte, P. Mathonet, E. Tusset, Comparison of some modules of the Lie algebra of vector fields, Preprint Univ. of Liège, 1995. 212 | Zbl

[12] O. D. Ovsienko, V. Yu. Ovsienko, Lie derivative of order n on a line. Tensor meaning of the Gelfand-Dickey bracket, in "Adv. in Soviet Math." Vol. 2, 1991. | MR | Zbl

[13] J. Rawnsley, A nonunitary pairing of polarizations for the Kepler problem, Trans. AMS 250 (1979), 167-180. | MR | Zbl

[14] A. N. Rudakov, Irreducible representations of infinite-dimensional Lie algebras of Cartan type, Math. USSR Izvestija 8 (1974), 836-866. | MR | Zbl

[15] J. Sniatycki, "Geometric quantization and quantum mechanics," Springer-Verlag, Berlin, 1980. | MR | Zbl

[16] J.-M. Souriau, "Structure des systèmes dynamiques," Paris, Dunod, © 1969 | Zbl

[16] J.-M. Souriau, "Structure des systèmes dynamiques," Paris, Dunod, ©1970. | MR | Zbl

[17] N. M. J. Woodhouse, "Geometric Quantization," Clarendon Press, Oxford, 1992. | MR | Zbl