Geodesic
Remarks on the Loop Groups of Compact Lie Groups and the Diffeomorphism Group of the Circle
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 139-151 
V. A. Zaitseva; V. V. Kruglov; A. G. Sergeev; M. S. Strigunova; K. A. Trushkin. Remarks on the Loop Groups of Compact Lie Groups and the Diffeomorphism Group of the Circle. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 139-151. http://geodesic.mathdoc.fr/item/TM_1999_224_a8/
@article{TM_1999_224_a8,
     author = {V. A. Zaitseva and V. V. Kruglov and A. G. Sergeev and M. S. Strigunova and K. A. Trushkin},
     title = {Remarks on the {Loop} {Groups} of {Compact} {Lie} {Groups} and the {Diffeomorphism} {Group} of the {Circle}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {139--151},
     year = {1999},
     volume = {224},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1999_224_a8/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

[1] Pontryagin L. S., Nepreryvnye gruppy, 2-e izd., OGIZ, M.–L., 1938; 3-е изд., Гостехиздат, 1954; 4-е изд., Наука, 1973 ; Наука, 1984 | Zbl

[2] Pressli A., Sigal G., Gruppy petel, Mir, M., 1990 | MR

[3] Hamilton R. S., “The inverse function theorem of Nash and Moser”, Bull. Amer. Math. Soc., 7 (1982), 65–222 | DOI | MR | Zbl

[4] Milnor J. W., “Remarks on infinite dimensional Lie groups”, Relativity, groups and topology, II, Les Houches Session XL, eds. de Witt B. S., Stora R., North-Holland, Amsterdam, 1984, 1010–1057 | MR

[5] Davidov I., Sergeev A. G., “Tvistornoe kvantovanie prostranstv petel”, Tr. MIAN, 217, 1997, 5–99 | MR | Zbl

[6] Zhelobenko D. P., Kompaktnye gruppy Li i ikh predstavleniya, Nauka, M., 1970 | MR | Zbl

[7] Arnold V. I., “Malye znamenateli. I: Ob otobrazheniyakh okruzhnosti na sebya”, Izv. AN SSSR. Ser. mat., 25 (1961), 21–86 | MR

[8] Herman M. R., “Sur la conjugaison différentiable des difféomorphismes du cercle á des rotations”, Publ. Math. IHES, 49, 1979, 5–234 | MR

[9] Herman M. R., “Sur le groupe des difféomorphismes du tore”, Ann. Inst. Fourier, 23 (1973), 75–86 | MR | Zbl

[10] Kats V., Beskonechnomernye algebry Li, Mir, M., 1993 | MR

[11] Kac V. G., Raina A. K., Highest weight representations of infinite dimensional Lie algebras, World Sci., Singapore, 1987 | MR

[12] Mickelsson J., Current algebras and groups, Plenum Press, N. Y., 1989 | MR | Zbl

[13] Ottesen J. T., Infinite dimensional groups and algebras in quantum physics, Springer-Verl., Berlin etc., 1995 | MR | Zbl