Separation of variables in the elliptic gaudin model

Communications in Mathematical Physics

Volumn 204, Issue 1, 1999, Pages 17-38

  Sklyanin, Evgueni K ^a   Takebe, Takashi ^b,c  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b UNIVERSITY OF TOKYO   (Japan)

^c OCHANOMIZU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033247263     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050635     Document Type: Article

References (22)

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5. 5. Babujian, H., Lima-Santos, A., Poghossian, R. H.: Knizhnik-Zamolodchikov-Bernard equations connected with the eight-vertex model. Preprint solv-int/9804015
6. 6. Sklyanin, E.K.: Separation of Variables in the Gaudin model. Zapiski Nauchnykh Seminarov LOMI 164, 151-169 (1987) (in Russian); J. Sov. Math. 47, 2473-2488 (1989) (English transl.)
7. 6. Sklyanin, E.K.: Separation of Variables in the Gaudin model. Zapiski Nauchnykh Seminarov LOMI 164, 151-169 (1987) (in Russian); J. Sov. Math. 47, 2473-2488 (1989) (English transl.)
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10. 9. Enriquez, B., Feigin, B., Rubtsov, V.: Separation of variables for Gaudin-Calogero systems. Compositio Math. 110, 1-16 (1998)
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13. 11. Sklyanin, E. K.: On Poisson structure of periodic classical XYZ-chain. Zapiski Nauchnykh Seminarov LOMI 150, 154-180 (1986) (in Russian); J. Sov. Math. 46, 1664-1683 (1989) (English transl.).
14. 12. Takhtajan, L. A. and Faddeev, L.D.: The quantum method of the inverse problem and the Heisenberg XYZ Model. Uspekhi Mat. Nauk 34:5, 13-63 (1979) (in Russian); Russian Math. Surveys 34:5, 11-68 (1979) (English transl.)
15. 12. Takhtajan, L. A. and Faddeev, L.D.: The quantum method of the inverse problem and the Heisenberg XYZ Model. Uspekhi Mat. Nauk 34:5, 13-63 (1979) (in Russian); Russian Math. Surveys 34:5, 11-68 (1979) (English transl.)
16. 13. Whittaker, E.T. and Watson, G.N.: A Course of Modern Analysis. 4th ed., Cambridge: Cambridge University Press, 1927
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20. 2 = U{n(n + 1)pu + B} in finite terms when 2n is an odd number. Quarterly J. Pure and Appl. Math. XXVIII, 93-98 (1895)
21. 18. Sklyanin, E.K.: Some Algebraic Structures Connected with the Yang-Baxter Equation. Representations of Quantum Algebras. Funkts, analiz i ego Prilozh. 17-4, 34-48 (1983) (in Russian); Funct. Anal. Appl. 17, 273-284 (1984) (English transl.)
22. 18. Sklyanin, E.K.: Some Algebraic Structures Connected with the Yang-Baxter Equation. Representations of Quantum Algebras. Funkts, analiz i ego Prilozh. 17-4, 34-48 (1983) (in Russian); Funct. Anal. Appl. 17, 273-284 (1984) (English transl.)