@article{CM_1990__76_3_315_0, author = {Atkin, C. J. and Grabowski, J.}, title = {Homomorphisms of the {Lie} algebras associated with a symplectic manifold}, journal = {Compositio Mathematica}, pages = {315--349}, publisher = {Kluwer Academic Publishers}, volume = {76}, number = {3}, year = {1990}, mrnumber = {1080006}, zbl = {0718.53025}, language = {en}, url = {http://archive.numdam.org/item/CM_1990__76_3_315_0/} }
TY - JOUR AU - Atkin, C. J. AU - Grabowski, J. TI - Homomorphisms of the Lie algebras associated with a symplectic manifold JO - Compositio Mathematica PY - 1990 SP - 315 EP - 349 VL - 76 IS - 3 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1990__76_3_315_0/ LA - en ID - CM_1990__76_3_315_0 ER -
Atkin, C. J.; Grabowski, J. Homomorphisms of the Lie algebras associated with a symplectic manifold. Compositio Mathematica, Tome 76 (1990) no. 3, pp. 315-349. http://archive.numdam.org/item/CM_1990__76_3_315_0/
1 A note on the algebra of Poisson brackets, Math. Proc. Camb. Phil. Soc. 96 (1984), 45-60. | MR | Zbl
,2 Sur l'algèbre des automorphismes infinitésimaux d'une variété symplectique, J. Diff. Geom. 9 (1974), 1-40. | MR | Zbl
, and ,3 Sheaf Theory; McGraw-Hill, New York, 1967. | MR | Zbl
,4 Séminaire Cartan (École Normale Supérieure), 1951/52.
5 Topologie Algébrique et Théorie des Faisceaux; Hermann, Paris, 1958. | MR | Zbl
,6 Isomorphisms and ideals of the Lie algebras of vector fields, Invent., Math. 50 (1978), 13-33. | MR | Zbl
,7 The Lie structure of C* and Poisson algebras, Studia Math. 81 (1985), 259-270. | MR | Zbl
,8 On Levi's problem and the imbedding of real-analytic manifolds, Ann. Math. 68 (1958), 460-472. | MR | Zbl
,9 Holomorphic Functions in Several Variables, de Gruyter, Berlin-New York 1983. | Zbl
and ,10 Sur les variétés symplectiques, C.R. Acad. Sci. Paris 233 (1951), 723-726. | MR | Zbl
,11 Symplectic diffeomorphisms and the flux homomorphism, Invent. Math. 77 (1984), 353-366. | MR | Zbl
,12 Imbedding of holomorphically complete complex spaces, Amer. J. Math. 82 (1960), 917-934. | MR | Zbl
,13 Some results in the theory of real analytic spaces, Espaces Analytiques (Séminaire, Bucharest, 1969), 149-157; Editura Acad. R.S.R., Bucharest, 1971. | MR | Zbl
,14 Differentiable manifolds, Ann. Math. 37 (1936), 645-680. | JFM | MR | Zbl
,