Geodesic
Remarks on the Loop Groups of Compact Lie Groups and the Diffeomorphism Group of the Circle
Informatics and Automation, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 139-151.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{TRSPY_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 = {Informatics and Automation},
     pages = {139--151},
     publisher = {mathdoc},
     volume = {224},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_1999_224_a8/}
}
TY  - JOUR
AU  - V. A. Zaitseva
AU  - V. V. Kruglov
AU  - A. G. Sergeev
AU  - M. S. Strigunova
AU  - K. A. Trushkin
TI  - Remarks on the Loop Groups of Compact Lie Groups and the Diffeomorphism Group of the Circle
JO  - Informatics and Automation
PY  - 1999
SP  - 139
EP  - 151
VL  - 224
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_1999_224_a8/
LA  - ru
ID  - TRSPY_1999_224_a8
ER  - 
%0 Journal Article
%A V. A. Zaitseva
%A V. V. Kruglov
%A A. G. Sergeev
%A M. S. Strigunova
%A K. A. Trushkin
%T Remarks on the Loop Groups of Compact Lie Groups and the Diffeomorphism Group of the Circle
%J Informatics and Automation
%D 1999
%P 139-151
%V 224
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_1999_224_a8/
%G ru
%F TRSPY_1999_224_a8
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. Informatics and Automation, Algebra. Topology. Differential equations and their applications, Tome 224 (1999), pp. 139-151. http://geodesic.mathdoc.fr/item/TRSPY_1999_224_a8/

[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