Geodesic
Poisson structures associated with algebras of differential operators
Matematičeskie zametki, Tome 58 (1995) no. 2, pp. 256-271 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

For differential operators forming an algebra of a certain class that includes algebras of higher derivatives, a Poisson structure is introduced and the first term of the Hochschild spectral sequence is calculated. 
@article{MZM_1995_58_2_a7,
     author = {O. V. Lychagina},
     title = {Poisson structures associated with algebras of differential operators},
     journal = {Matemati\v{c}eskie zametki},
     pages = {256--271},
     year = {1995},
     volume = {58},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_2_a7/}
}
TY  - JOUR
AU  - O. V. Lychagina
TI  - Poisson structures associated with algebras of differential operators
JO  - Matematičeskie zametki
PY  - 1995
SP  - 256
EP  - 271
VL  - 58
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MZM_1995_58_2_a7/
LA  - ru
ID  - MZM_1995_58_2_a7
ER  - 
%0 Journal Article
%A O. V. Lychagina
%T Poisson structures associated with algebras of differential operators
%J Matematičeskie zametki
%D 1995
%P 256-271
%V 58
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1995_58_2_a7/
%G ru
%F MZM_1995_58_2_a7
O. V. Lychagina. Poisson structures associated with algebras of differential operators. Matematičeskie zametki, Tome 58 (1995) no. 2, pp. 256-271. http://geodesic.mathdoc.fr/item/MZM_1995_58_2_a7/

[1] Lychagina O. V., “Spektralnaya posledovatelnost gomologii Khokhshilda algebry vysshikh differentsirovanii”, Vestn. MGU. Ser. 1. Matem., mekh., 3 (1993), 18–22 | MR

[2] Vinogradov A. M., Krasilschik I. S., Lychagin V. V., Vvedenie v geometriyu nelineinykh differentsialnykh uravnenii, Nauka, M., 1986

[3] Brylinski J.-L., “A differential complex for Poisson manifolds”, Different. Geometry, 28 (1988), 93–114 | MR | Zbl

[4] Kartan A., Eilenberg S., Gomologicheskaya algebra, Nauka, M., 1960

[5] Hochschild G., Kostant B., Rosenberg A., “Differential forms on regular affine algebras”, Trans. Amer. Math. Soc., 102 (1962), 383–408 | DOI | MR | Zbl