Contact analogues of the Virasoro algebra

V. Yu. Ovsienko

Funkcionalʹnyj analiz i ego priloženiâ, Tome 24 (1990) no. 4, pp. 54-62.

Bibliographie

[1] Arnold V.I., Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1979 | MR

[2] Arnold V.I., Givental A.B., “Simplekticheskaya geometriya”, Sovremennye problemy matematiki. Fundamentalnye napravleniya, 4, VINITI, M., 1985, 7–139 | MR

[3] Gelfand I.M., Dikii L.A., Semeistvo gamiltonovykh struktur, svyazannykh s nelineinymi integriruemymi uravneniyami, Preprint No 136, IPM AN SSSR, 1978

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

[5] Drinfeld V.G., Sokolov V.V., “Algebry Li i uravneniya tipa Kortevega–de Friza”, Sovremennye problemy matematiki, 24, VINITI, M., 1984, 81–180 | MR

[6] Kirillov A.A., “Lokalnye algebry Li”, UMN, 31:4 (1976), 57–76 | MR | Zbl

[7] Kirillov A.A., “Orbity gruppy diffeomorfizmov okruzhnosti i lokalnye superalgebry Li”, Funktsion. analiz i ego prilozh., 15:2 (1981), 75–76 | MR | Zbl

[8] Kirillov A.A., “Metod orbit i predstavleniya beskonechnomernykh grupp Li”, Geometriya i topologiya v globalnykh nelineinykh zadachakh, Voronezh, 1984, 49–67 | MR | Zbl

[9] Leites D.A., Feigin B.L., “Novye superalgebry Li strunnykh teorii”, Teoretiko-gruppovye metody v fizike, 1, Nauka, M, 1983, 269–273

[10] Ovsienko V.Yu., “Poluinvariantnye differentsialnye operatory i differentsialnyi binom Nyutona”, Tezisy mezhdunarodnoi konferentsii po algebre, Novosibirsk, 1989

[11] Ovsienko V.Yu., Ovsienko O.D., Chekanov Yu.V., “Klassifikatsiya kontaktno-proektornykh struktur na superokruzhnosti”, UMN, 44:3 (1989), 167–168 | MR

[12] Feigin B.L., Fuks D.B., “Kosospmmetricheskie invariantnye operatory na pryamoi i moduli Verma nad algebroi Virasoro”, Funktsion. analiz i ego pril., 16:2 (1982), 47–63 | MR

[13] Fuks D.B., Kogokhmologii beskonechnomernykh algebr Li, Nauka, M., 1984 | MR

[14] Gerstenhaber M., “On the deformation of rings and algebras”, Annals of Math., 79 (1964), 59 | DOI | MR | Zbl

[15] Kirillov A.A., “Infinitedimensional Lie Groups: their Orbits, Invariants and Representations”, Geometry of Moments, Lecture Notes in Math., no. 970, 1982, 101–123 | DOI | MR | Zbl

[16] Ovsienko O.D., Ovsienko V.Ju., “Lie derivatives of order on a line. Tensor sense of Gelfand–Dikii braket”, Advances of Soviet Math., 4 (1990) | MR

[17] Segal G., “Unitary representations of some infinit dimensional groups”, Comm. Math. Phys., 80:3 (1981), 301–342 | DOI | MR | Zbl

[18] Vey J., “Deformation du crochet de Poisson sur une varie' te sumplectique”, Comment Math. Helvetici, 50:4 (1975), 421–454 | DOI | MR | Zbl

[19] Witten E., “Quantum field theory and Jones polynomial”, Proc. of the lAMT Congress Fwansea (July, 1988) | MR