Recent Publications and Preprints:

• E.K. Sklyanin. Bäcklund transformations and Baxter's $Q$-operator. In: Integrable systems: from classical to quantum (Montréal, QC, 1999), 227-250, CRM Proc. Lecture Notes 26, Amer. Math. Soc., Providence, RI, 2000; nlin.SI/0009009
• V.B. Kuznetsov, M. Salerno and E.K. Sklyanin. Quantum Bäcklund transformation for the integrable DST model. J. Phys. A: Math. Gen. 33 (2000) 171-189; solv-int/9908002
• E. K. Sklyanin. Canonicity of Bäcklund transformation: r-matrix approach. II, preprint LPENSL-Th 06/99; solv-int/9903017
• E. K. Sklyanin. Canonicity of Bäcklund transformation: r-matrix approach. I, In: "L. D. Faddeev's Seminar on Mathematical Physics", 277-282, Amer. Math. Soc. Transl. Ser. 2, 201, Amer. Math. Soc., Providence, RI, 2000; solv-int/9903016
• E. K. Sklyanin and T. Takebe. Separation of variables in the elliptic Gaudin model, Commun. Math. Phys. 20 (1999) 17-38; solv-int//9807008
• V. B. Kuznetsov and E. K. Sklyanin. On Bäcklund transformations for many-body systems, J. Phys. A: Math. Gen. 31 (1998) 2241-2251; solv-int/9711010
• E. K. Sklyanin. Generating function of correlators in the sl₂-Gaudin model, Lett. Math. Phys. 47 (1999) 275-292; solv-int/9708007
• V. B. Kuznetsov, F. W. Nijhoff and E. K. Sklyanin. Separation of variables for the Ruijsenaars system, Commun. Math. Phys. 189 (1997) 855-877; solv-int/9701004
• V. B. Kuznetsov and E. K. Sklyanin. Factorization of Macdonald polynomials, In: "Symmetries and integrability of difference equations" (Canterbury, 1996), 370-384, London Math. Soc. Lecture Note Ser., 255, Cambridge Univ. Press, Cambridge, 1999; q-alg/9703013
• V. B. Kuznetsov and E. K. Sklyanin. Separation of variables and integral relations for special functions, Ramanujan J. Math. 3 (1999) 5-35; q-alg/9705006
• F. W. Nijhoff, V. B. Kuznetsov, E. K. Sklyanin and O. Ragnisco. Dynamical r-matrix for the elliptic Ruijsenaars-Schneider system. J. Phys. A: Math. Gen. 29 (1996) L333-L340; solv-int/9603006
• E. K. Sklyanin and T. Takebe. Algebraic Bethe ansatz for XYZ Gaudin model. Phys. Lett. A 219 (1996) 217-225; q-alg/9601028
• V. B. Kuznetsov and E. K. Sklyanin. Separation of variables for A₂ Ruijsenaars model and new integral representation for A₂ Macdonald polynomials. J. Phys. A: Math. Gen. 29 (1996) 2779-2804; q-alg/9602023
• V. B. Kuznetsov and E. K. Sklyanin. Separation of variables in the A₂ Jack type polynomials. RIMS Kokyuroku 919 (1995) 27-43; solv-int/9508002
• E. K. Sklyanin. Separation of variables. New trends. In: "Quantum Field Theory, Integrable Models and Beyond", eds. T. Inami R. Sasaki, (International Workshop, YITP, Kyoto, 14-17 Feb, 1994), Progress in Theoretical Physics Supplement 118 (1995) 35-60; solv-int/9504001
• E. K. Sklyanin. Dynamical r-matrices for the elliptic Calogero-Moser model. St.-Petersburg Math. J. 6 (1994) 397-406; hep-th/9308060
• E. K. Sklyanin. Separation of variables in the quantum integrable models related to the Yangian Y[sl(3)]. J. Math. Sci., New York 80 (1996) 1861-1871; hep-th/9212076
• P. P. Kulish andE. K. Sklyanin. Algebraic structures related to reflection equations. J. Phys. A: Math. Gen. 25 (1992) 5963-5975; hep-th/9209054
• E. K. Sklyanin. Separation of variables in the classical integrable SL(3) magnetic chain. Commun. Math. Phys. 150 (1992) 181-191; hep-th/9211126
• E. K. Sklyanin. Quantum Inverse Scattering Method. Selected Topics. In: Quantum Group and Quantum Integrable Systems (Nankai Lectures in Mathematical Physics), ed. by Mo-Lin Ge, Singapore: World Scientific (1992) 63--97; hep-th/9211111
• P. P. Kulish and E. K. Sklyanin. The general U_q[sl(2)] invariant XXZ integrable quantum spin chain. J. Phys. A: Math. Gen. 24 (1991) L435-L439.
• E. K. Sklyanin. Functional Bethe ansatz. In: Integrable and superintegrable systems, ed. by B. A. Kupershmidt, Singapore:World Scientific (1990) 8-33.
• E. K. Sklyanin. Exact quantization of the sinh-Gordon model. Nucl. Phys. B326 (1989) 719-736; LATEX file

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Last updated: 2001/02/28