Geodesic
Hamiltonian operators and infinite-dimensional Lie algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 3, pp. 23-40 
I. M. Gel'fand; I. Ya. Dorfman. Hamiltonian operators and infinite-dimensional Lie algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 3, pp. 23-40. http://geodesic.mathdoc.fr/item/FAA_1981_15_3_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Gelfand I.M., Dorfman I.Ya., “Gamiltonovy operatory i svyazannye s nimi algebraicheskie struktury”, Funkts. analiz, 13:4 (1979), 13–30 | MR

[2] Gelfand I.M., Dorfman I.Ya., “Skobka Skhoutena i gamiltonovy operatory”, Funkts. analiz, 14:3 (1980), 71–74 | MR

[3] Gelfand I.M., Dikii L.A., “Asimptotika rezolventy shturm-liuvillevskikh uravnenii i algebra uravnenii Kortevega–de Friza”, UMN, XXX:5 (1975), 67–100 | MR

[4] Gelfand I.M., Fuks D.B., “Kogomologii algebry Li vektornykh polei na okruzhnosti”, Funkts. analiz, 2:4 (1968), 92–93 | MR

[5] Adler M., “On a trace functional for formal pseudodifferential operators and the symplectic structure of the Korteveg–de Vries equation”, Invent. math., 50:3 (1979), 219–248 | DOI | MR | Zbl

[6] Lebedev D.R., Manin Yu.I., “Gamiltonov operator Gelfanda–Dikogo i koprisoedinennoe predstavlenie gruppy Volterra”, Funkts. analiz, 13:4 (1979), 40–46 | MR | Zbl

[7] Gelfand I.M., Dikii L.A., “Drobnye stepeni operatorov i gamiltonovy sistemy”, Funkts. analiz, 10:4 (1976), 13–29 | MR

[8] Kupershmidt B.A., Manin Yu.I., “Uravneniya dlinnykh voln so svobodnoi poverkhnostyu. I. Zakony sokhraneniya i resheniya”, Funkts. analiz, 11:3 (1977), 31–42 ; “II. Гамильтонова структура и высшие уравнения”, Функц. анализ, 12:1 (1978), 25–37 | MR | Zbl | MR | Zbl

[9] Lebedev D.R., Benney's long waves equations. Hamiltonian formalism, preprint ITEF No 41, 1979 | MR

[10] Martines Alonso L., “A new infinite-dimensional Kirillov structure related with nonlinear evolution equations”, Lett. Math. Physics (to appear) | MR

[11] Berezin F.A., “Neskolko zamechanii ob assotsiativnoi obolochke algebry Li”, Funkts. analiz, 1:2 (1967), 1–14 | MR | Zbl

[12] Kirillov A.A., “Lokalnye algebry Li”, UMN, XXXI:4 (1976), 57–76 | MR

[13] Flato M., Lichnerowicz A., Sfernheimer D., Algebras de Lie attachees a une variete canonique, preprint, 1975 | MR | Zbl