A spinor representation of an infinite-dimensional orthogonal semigroup and the virasoro algebra
Funkcionalʹnyj analiz i ego priloženiâ, Tome 23 (1989) no. 3, pp. 32-44.

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Yu. A. Neretin. A spinor representation of an infinite-dimensional orthogonal semigroup and the virasoro algebra. Funkcionalʹnyj analiz i ego priloženiâ, Tome 23 (1989) no. 3, pp. 32-44. http://geodesic.mathdoc.fr/item/FAA_1989_23_3_a3/

[1] Berezin F.A., Metod vtorichnogo kvantovaniya, Nauka, M., 1965 | MR

[2] Vershik A.M., “Metaplekticheskaya i metagonalnaya beskonechnomernye gruppy. 1. Obschie ponyatiya i metagonalnaya gruppa”, Zap. nauchn. semin. LOMI, 123, 1983, 3–35 | MR | Zbl

[3] Vershik A.M., Kerov S.V., “Kharaktery i faktor-predstavleniya beskonechnomernoi unitarnoi gruppy”, DAN SSSR, 267:2 (1982), 272–276 | MR | Zbl

[4] Kartan E., Teoriya spinorov, M., 1947

[5] Kirillov A.A., “Kelerova struktura na $K$-orbitakh gruppy diffeomorfizmov okruzhnosti”, Funktsion. analiz i ego pril., 21:2 (1987), 42–45 | MR | Zbl

[6] Kontsevich M.L., “Algebra Virasoro i prostranstva Teikhmyullera”, Funktsion. analiz i ego pril., 21:2 (1987), 78–79 | MR | Zbl

[7] Krichever I.M., Novikov S.P., “Algebry tipa Virasoro, rimanovy poverkhnosti i struktury teorii solitonov”, Funktsion. analiz i ego pril., 21:2 (1987), 46–63 | MR | Zbl

[8] Neretin Yu.A., “O spinornom predstavlenii $O(\infty,\mathbf C)$”, DAN SSSR, 289:2 (1986), 282–285 | MR

[9] Neretin Yu.A., “Predstavleniya algebry Virasoro i affinnykh algebr”, Sovremennye problemy matematiki. Fundamentalnye napravleniya. Itogi nauki i tekhn., 22, VINITI, M., 1988, 163–224 | MR

[10] Neretin Yu.A., “O kompleksnoi polugruppe, soderzhaschei gruppu diffeomorfizmov okruzhnosti”, Funktsion. analiz i ego pril., 21:2 (1987), 82–83 | MR | Zbl

[11] Olshanskii G.I., “Invariantnye konusy v algebrakh Li, polugruppy Li i golomorfnaya diskretnaya seriya”, Funktsion. analiz i ego pril., 15:4 (1981), 53–66 | MR | Zbl

[12] Olshanskii G.I., “Unitarnye predstavleniya beskonechnomernykh par $(G,K)$ i formalizm Khau”, DAN SSSR, 269:1 (1983), 33–36 | MR

[13] Sato M., Dzimbo M., Miva T., “Golonomnye kvantovye polya. 1”, Sato M., Dzimbo M., Miva T. Golonomnye kvantovye polya, Mir, M., 1983, 22–65

[14] Frenkel I.B., “Two constructions ofj affine Lie algebra representations and boson-fermion correspondence in quantum field theory”, J. Funct. Anal., 44:3 (1981), 385–409 | DOI | MR

[15] Shale D., Stinespring W.F., “Spinor representations of infinite dimentional orthogonal groups”, J. Math. and Mech., 14:2 (1965), 315–322 | MR | Zbl

[16] Witten E., “Quantum field theory, grassmannians and algebraic curves”, Commun. in math. phys., 113:4 (1988), 529–600 | DOI | MR

[17] Alvarez Gaume L., Gomes G., Moore D., Vafa C., “Strings in operators formalism”, Nuclear Phys., 303:3 (1988), 455–521 | DOI | MR