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@article{FAA_1988_22_1_a0,
author = {Yu. M. Vorob'ev and M. V. Karasev},
title = {Poisson manifolds and the schouten bracket},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {1--11},
publisher = {mathdoc},
volume = {22},
number = {1},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1988_22_1_a0/}
}
Yu. M. Vorob'ev; M. V. Karasev. Poisson manifolds and the schouten bracket. Funkcionalʹnyj analiz i ego priloženiâ, Tome 22 (1988) no. 1, pp. 1-11. http://geodesic.mathdoc.fr/item/FAA_1988_22_1_a0/
[1] Lichnerowicz A., “Les Varietes de Poisson et leurs Algebres de Lie associees”, J. Diff. Geom., 12,:12 (1977), 253–300 | MR | Zbl
[2] Vorobev Yu.M., Karasev M.B., “Popravkrkh k klassicheskoi dinamike i usloviyam kvantovaniya, voznikayuschie pri deformatsii skobok Puassona”, DAN SSSR, 247:6 (1987), 1294–1298 | MR
[3] Karasev M.V., Usloviya kvantovaniya Maslova v vysshikh kogomologiyakh i analogi ob'ektov teorii Li dlya kanonicheskikh rassloenii simplekticheskikh mnogoobrazii, Dep. v VINITI, No 1091-82, 1092-82, MIEM, 1981
[4] Weinstein A., “The local structure of Poisson manifolds”, J. Diff. Geom., 18 (1983), 523–557 | MR | Zbl
[5] Drinfeld V.G., “Gamiltonovy struktury na gruppakh Lp, bialgebry Li i geometricheskii smysl uravnenii Yanga–Bakstera”, DAN SSSR, 268:2 (1983), 285–287 | MR
[6] Karasev M.V., “Analogi ob'ektov teorii grupp Li dlya nelineinykh skobok Puassona”, Izv. AN SSSR. Ser. mat., 50:3 (1986), 508–538 | MR | Zbl
[7] Faddeev L.D., Operatornaya anomaliya dlya zakona Gaussa, Preprint LOMI R-5-84, Leningrad, 1984 | MR
[8] Faddeev L.D., Shatashvili S.L., “Algebraicheskie i gamiltonovy metody v teorii neabelevykh anomalii”, TMF, 60:2 (1984), 206–217 | MR
[9] Bohm A., “Dynamical Groups of Simple Nonreletivistic Models”, Nuovo Cimento, 43A:3 (1966), 665–683 | DOI
[10] Karasev M.V., “O veilevskom i uporyadochennom ischislenii nekommutiruyuschikh operatorov”, Mat. zametki, 26:6 (1979), 885–907 | MR | Zbl
[11] Karasev M.V., Kvantovanie nelineinykh skobok Li–Puassona v kvaziklassicheskom priblizhenii, Preprint ITF 85-72R, Kiev, 1985
[12] Bayen F., Flato M., Fronsdel C., Lichnerowicz A., Sternheimer D., “Defformation theory and quantization”, Ann. of Phys., 111:1 (1978), 61–151 | DOI | MR
[13] Kulish I.P., Sklyanin E.K., “O resheniyakh uravneniya Yanga–Bakstera”, Zap. nauchn. sem. LOMI, 95, 1980, 129–160 | MR
[14] Drinfeld V.G., “O postoyannykh kvaziklassicheskikh resheniyakh uravneniya Yanga–Bakstera”, DAN SSSR, 273:3 (1983), 667–671 | MR
[15] Cherednik I.V., “O kvantovykh deformatsiyakh nepreryvnykh konechnomernykh predstavlenii $gl_N$”, DAN SSSR, 287:5 (1986), 1076–1079 | MR | Zbl
[16] Gelfand I.M., Dorfman I.Ya., “Skobka Skhoutena i gamiltonovy operatory”, Funktsion. analiz i ego pril., 14:3 (1980), 71–74 | MR
[17] Arnold V.I., Givental A.B., “Simplekticheskaya geometriya”, Sovremennye problemy matematiki. Itogi nauki i tekhniki, 4, VINITI, M., 1985, 5–139 | MR
[18] Trofimov V.V., Fomenko A.T., “Geometriya skobok Puassona i metody integrirovaniya po Liuvillyu sistem na simmetricheskikh prostranstvakh”, Sovremennye problemy matematiki. Noveishie dostizheniya matematiki, 29, VINITI, M., 1986, 3–108 | MR