Quantum integrable systems
Séminaire Bourbaki : volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Talk no. 788, p. 365-387
@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},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {227},
     year = {1995},
     note = {talk:788},
     pages = {365-387},
     zbl = {0839.35106},
     mrnumber = {1321654},
     language = {en},
     url = {http://www.numdam.org/item/SB_1993-1994__36__365_0}
}
Semenov-Tian-Shansky, Michael. Quantum integrable systems, in Séminaire Bourbaki : volume 1993/94, exposés 775-789, Astérisque, no. 227 (1995), Talk no. 788, pp. 365-387. http://www.numdam.org/item/SB_1993-1994__36__365_0/

[A] Adler M., On a trace functional for formal pseudodifferential operators and the symplectic structure for the KdV type equations, Invent. Math. 50, 219-248 (1979). | Article | MR 520927 | Zbl 0393.35058

[B] Baxter R. J., Exactly Solved Models in Statistical Mechanics. Academic Press, London, 1982. | MR 690578 | Zbl 0538.60093 | Zbl 0723.60120

[BD] Belavin A. A., Drinfeld V. G., Triangle equations and simple Lie algebras, Sov. Sci. Rev., 4C, 93-165 (1983). | MR 768939 | Zbl 0553.58040

[BF] Babujian H. M., Flume R., Off-shell Bethe ansatz equations for Gaudin magnets and solutions of KZ equations, Preprint Bonn-HE- 93-30. | Zbl 1020.82542

[DE] Ding J., Etingof P., Center of a quantum affine algebra at the critical level. Preprint. Yale University, hep-th 9403064 (1994). | Article | MR 1302390 | Zbl 0833.17008

[D] Drinfeld V. G., Quantum Groups. Proc. ICM-86 (Berkeley), vol. 1, p. 798. AMS, 1987. | MR 934283

[F1] Faddeev L. D. Quantum Completely Integrable Systems in Quantum Field Theory. Sov. Sci. Rev.lC, 107-155 (1980). | MR 659263 | Zbl 0569.35064

[F2] Faddeev L. D. Integrable Models in (1+1)-dimensional Quantum Field Theory. Les Houches 1982. Elsevier Science Publ. 1984. | MR 782509

[FRT] Faddeev L. D., Reshetikhin N. Yu., Takhtajan L. A. Quantization of Lie groups and Lie algebras. Leningrad Math. J., 1, 178-207 (1989). | MR 1015339 | Zbl 0715.17015

[FT1] Faddeev L. D., Takhtajan L. A., Quantum Inverse Scattering Method. Russian Math. Surveys, 34:5, 11-68, (1979).

[FT2] Faddeev L. D., Takhtajan L. A., Hamiltonian Methods in the Theory of Solitons. Springer, 1987. | Article | MR 905674 | Zbl 0632.58004

[FV] Faddeev L. D., Volkov A. Yu., Abelian current algebra and the Virasoro algebra on the lattice. Phys. Lett. B315, 311-318 (1993). | Article | MR 1238474 | Zbl 0864.17042

[FeiFr] Feigin B., Frenkel E., Affine Kac-Moody algebras at the critical level and Gelfand-Dikij algebras, Int. J. Mod. Phys.A 7, Suppl. 1A (1992), 197-215. | Article | MR 1187549 | Zbl 0925.17022

[FeiFrR] Feigin B., Frenkel E., and Reshetikhin N., Gaudin model, Bethe ansatz and correlation functions at the critical level. Preprint hep-th 9401 (1994). | MR 1309540 | Zbl 0812.35103

[FrR] Frenkel I. B., Reshetikhin N. Yu., Quantum affine algebras and holonomic difference equations. Commun. Math. Phys. 146, 1-60 (1992). | Article | MR 1163666 | Zbl 0760.17006

[G] Gaudin M., La Fonction d'Onde de Bethe. Masson, Paris, 1983. | MR 693905 | Zbl 0509.60093

[GGKM] Gardner C. S., Green J. M., Kruskal M. D., Miura R. M., Method for solving the KdV equation, Phys. Rev. Lett. 19, 1095-1097 (1967). | Article | Zbl 1061.35520 | Zbl 1103.35360

[HW] Harnad J., Winternitz P., Classical and quantum integrable systems in 𝔤 ˜ l ( 2 ) + * and separation of variables. Preprint CRM 1921, Montreal 1993. | MR 1350408 | Zbl 0842.58046

[J] Jurčo B., Classical Yang-Baxter equation and quantum integrable systems. J. Math. Phys. 30, 1289-1293 (1989). | Article | MR 995770 | Zbl 0692.58015

[K] Kostant B., 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 0474.58010

[KuS] Kulish P. P., Sklyanin E. K., Quantum Spectral Transform Method. In: Integrable Quantum Field Theories. Lecture Notes in Physics 151, 61-119, Springer, 1981. | MR 671263 | Zbl 0734.35071

[Kuz] Kuznetsov V., Equivalence of two graphical calculi. J.Phys. A25, 6005-6026. | MR 1193839 | Zbl 0784.53056

[L] Lax P. D., Integrals of nonlinear equations and solitary waves. Commun. Pure Appl. Math., 21, 467-490, 1968. | Article | MR 235310 | Zbl 0162.41103

[RS] Reshetikhin N. Yu., Semenov-Tian-Shansky M.A., Central extensions of quantum current groups. Lett. Math. Phys. 19, 133-142 (1990). | Article | MR 1039522 | Zbl 0692.22011

[RV] Reshetikhin N. Yu., Varchenko A., Quasiclassical asymptotics of the KZ equations. Preprint. 1993. | MR 1358621

[S1] Sklyanin E. K., On complete integrability of the Landau-Lifshitz equation. Preprint LOMI, E-3-79, Leningrad, 1979. | Zbl 0449.35089

[S2] Sklyanin E. K., Quantum Inverse Scattering Method. Selected Topics. In: Quantum Groups and Quantum Integrable Systems. Ge M.L., ed. World Scientific, Singapore, 1992. | MR 1239668

[STF] Sklyanin E. K., Takhtajan L. A., Faddeev L. D., The quantum inverse scattering method. I. Theor. Math. Phys. 101, 194-220 (1979). | Zbl 1138.37331

[Sm] Smirnov F. A., Form Factors in Completely Integrable Models of Quantum Field Theory. Adv. Series in Math. Phys. 14, World Scientific, Singapore, 1992. | Article | MR 1253319 | Zbl 0788.46077

[T] Tarasov V. O., Irreducible monodromy matrices for the R-matrix of the XXZ-model and lattice local quantum Hamiltonians. Theor. Math. Phys. 63, 440-454 (1985). | Article | MR 800062

[TV] Tarasov V. O., Varchenko A., Jackson integral representations for solutions of the quantized KZ equation. St. Petersburg Math. J. 6, 1994. | MR 1301843 | Zbl 0818.33012