@incollection{SB_1993-1994__36__365_0,
author = {Semenov-Tian-Shansky, Michael},
title = {Quantum integrable systems},
booktitle = {S\'eminaire Bourbaki : volume 1993/94, expos\'es 775-789},
series = {Ast\'erisque},
note = {talk:788},
pages = {365--387},
year = {1995},
publisher = {Soci\'et\'e math\'ematique de France},
number = {227},
mrnumber = {1321654},
zbl = {0839.35106},
language = {en},
url = {https://www.numdam.org/item/SB_1993-1994__36__365_0/}
}
TY - CHAP AU - Semenov-Tian-Shansky, Michael TI - Quantum integrable systems BT - Séminaire Bourbaki : volume 1993/94, exposés 775-789 AU - Collectif T3 - Astérisque N1 - talk:788 PY - 1995 SP - 365 EP - 387 IS - 227 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1993-1994__36__365_0/ LA - en ID - SB_1993-1994__36__365_0 ER -
%0 Book Section %A Semenov-Tian-Shansky, Michael %T Quantum integrable systems %B Séminaire Bourbaki : volume 1993/94, exposés 775-789 %A Collectif %S Astérisque %Z talk:788 %D 1995 %P 365-387 %N 227 %I Société mathématique de France %U https://www.numdam.org/item/SB_1993-1994__36__365_0/ %G en %F SB_1993-1994__36__365_0
Semenov-Tian-Shansky, Michael. Quantum integrable systems, dans Séminaire Bourbaki : volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Exposé no. 788, 23 p.. https://www.numdam.org/item/SB_1993-1994__36__365_0/
[A] , On a trace functional for formal pseudodifferential operators and the symplectic structure for the KdV type equations, Invent. Math. 50, 219-248 (1979). | Zbl | MR | EuDML | DOI
[B] , Exactly Solved Models in Statistical Mechanics. Academic Press, London, 1982. | Zbl | MR
[BD] , , Triangle equations and simple Lie algebras, Sov. Sci. Rev., 4C, 93-165 (1983). | Zbl | MR
[BF] , , Off-shell Bethe ansatz equations for Gaudin magnets and solutions of KZ equations, Preprint Bonn-HE- 93-30. | Zbl
[DE] , , Center of a quantum affine algebra at the critical level. Preprint. Yale University, hep-th 9403064 (1994). | MR | Zbl | DOI
[D] , Quantum Groups. Proc. ICM-86 (Berkeley), vol. 1, p. 798. AMS, 1987. | MR
[F1] Quantum Completely Integrable Systems in Quantum Field Theory. Sov. Sci. Rev.lC, 107-155 (1980). | Zbl | MR
[F2] Integrable Models in (1+1)-dimensional Quantum Field Theory. Les Houches 1982. Elsevier Science Publ. 1984. | MR
[FRT] , , Quantization of Lie groups and Lie algebras. Leningrad Math. J., 1, 178-207 (1989). | Zbl | MR
[FT1] , , Quantum Inverse Scattering Method. Russian Math. Surveys, 34:5, 11-68, (1979).
[FT2] , , Hamiltonian Methods in the Theory of Solitons. Springer, 1987. | Zbl | MR | DOI
[FV] , , Abelian current algebra and the Virasoro algebra on the lattice. Phys. Lett. B315, 311-318 (1993). | Zbl | MR | DOI
[FeiFr] , , Affine Kac-Moody algebras at the critical level and Gelfand-Dikij algebras, Int. J. Mod. Phys.A 7, Suppl. 1A (1992), 197-215. | Zbl | MR | DOI
[FeiFrR] , , and , Gaudin model, Bethe ansatz and correlation functions at the critical level. Preprint hep-th 9401 (1994). | MR | Zbl
[FrR] , , Quantum affine algebras and holonomic difference equations. Commun. Math. Phys. 146, 1-60 (1992). | Zbl | MR | DOI
[G] , La Fonction d'Onde de Bethe. Masson, Paris, 1983. | Zbl | MR
[GGKM] , , , , Method for solving the KdV equation, Phys. Rev. Lett. 19, 1095-1097 (1967). | Zbl | DOI
[HW] , , Classical and quantum integrable systems in and separation of variables. Preprint CRM 1921, Montreal 1993. | MR | Zbl
[J] , Classical Yang-Baxter equation and quantum integrable systems. J. Math. Phys. 30, 1289-1293 (1989). | Zbl | MR | DOI
[K] , Quantization and Representation Theory. In: Representation Theory of Lie Groups, Proc. SRC/LMS Res. Symp., Oxford 1977. London Math. Soc. Lecture Notes Series, 34, 287-316 (1979). | Zbl
[KuS] , , Quantum Spectral Transform Method. In: Integrable Quantum Field Theories. Lecture Notes in Physics 151, 61-119, Springer, 1981. | Zbl | MR
[Kuz] , Equivalence of two graphical calculi. J.Phys. A25, 6005-6026. | Zbl | MR
[L] , Integrals of nonlinear equations and solitary waves. Commun. Pure Appl. Math., 21, 467-490, 1968. | Zbl | MR | DOI
[RS] , Semenov-Tian-Shansky M.A., Central extensions of quantum current groups. Lett. Math. Phys. 19, 133-142 (1990). | Zbl | MR | DOI
[RV] , Varchenko A., Quasiclassical asymptotics of the KZ equations. Preprint. 1993. | MR
[S1] , On complete integrability of the Landau-Lifshitz equation. Preprint LOMI, E-3-79, Leningrad, 1979. | Zbl
[S2] , Quantum Inverse Scattering Method. Selected Topics. In: Quantum Groups and Quantum Integrable Systems. Ge M.L., ed. World Scientific, Singapore, 1992. | MR
[STF] , , , The quantum inverse scattering method. I. Theor. Math. Phys. 101, 194-220 (1979). | Zbl
[Sm] , Form Factors in Completely Integrable Models of Quantum Field Theory. Adv. Series in Math. Phys. 14, World Scientific, Singapore, 1992. | Zbl | MR | DOI
[T] , Irreducible monodromy matrices for the R-matrix of the XXZ-model and lattice local quantum Hamiltonians. Theor. Math. Phys. 63, 440-454 (1985). | MR | DOI
[TV] , , Jackson integral representations for solutions of the quantized KZ equation. St. Petersburg Math. J. 6, 1994. | Zbl | MR







