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@article{FAA_1981_15_3_a2, author = {I. M. Gel'fand and I. Ya. Dorfman}, title = {Hamiltonian operators and infinite-dimensional {Lie} algebras}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {23--40}, publisher = {mathdoc}, volume = {15}, number = {3}, year = {1981}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1981_15_3_a2/} }
TY - JOUR AU - I. M. Gel'fand AU - I. Ya. Dorfman TI - Hamiltonian operators and infinite-dimensional Lie algebras JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1981 SP - 23 EP - 40 VL - 15 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1981_15_3_a2/ LA - ru ID - FAA_1981_15_3_a2 ER -
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/
[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