Hidden symmetries in the 6-vertex model of statistical physics

Journal of Mathematical Sciences

Volumn 85, Issue 1, 1997, Pages 1661-1670

  Korepanov, I G ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 53249131067     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02355327     Document Type: Article

References (14)

1. H. Bethe, "Zur theorie der metalle. I. Eigenwerte und eigenfunktionen atomkette," Z. Phys., 71, 205-226 (1931).
2. L. A. Takhtadzhyan and L. D. Faddeev, "Quantum inverse problem method and the XYZ Heisenberg model," Usp. Mat Nauk, 34, 13-63 (1979).
3. L. A. Takhtadzhyan and L. D. Faddeev, "The spectrum and excitation scattering in the homogeneous isotropic Heisenberg magnet," Zap. Nauch. Semin. LOMI, 109, 134-179 (1981).
4. R. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, New York (1982).
5. P. P. Kulish and E. K. Sklyanin, "Quantum spectral transform method. Recent developments," Lect. Notes Phys., 151, 61-119 (1982).
6. P. P. Kulish, N. Yu. Reshetikhin, and E. K. Sklyanin, "Yang-Baxter equations and representation theory," Lett. Math. Phys., 5, 393-403 (1981).
7. A. G. Izergin and V. E. Korepin, "Lattice version of quantum field theory models in two dimensions," Nucl. Phys., B205[FS5], 401-413 (1982).
8. I. M. Krichever, "Baxter equations and algebraic geometry," Funkt3. Anal. Prilozh., 15, No. 2, 22-35 (1981).
9. I. G. Korepanov, "Vacuum curves of L-operators connected with the 6-vertex model, and construction of R-operators," Deposited at VINITI, No. 2271-V86 (1986).
10. I. G. Korepanov, "Vacuum curves of L-operators connected with the 6-vertex model," Algebra Analiz, 6, 176-194 (1994).
11. I. G. Korepanov, "Hidden symmetries in the 6-vertex model," Deposited at VINITI, No. 1472-V87 (1987).
12. I. G. Korepanov, "On the spectrum of the 6-vertex model transfer matrix," Deposited at VINITI, No. 3268-V87 (1987).
13. I. G. Korepanov, "Applications of algebraic-geometrical constructions to the triangle and tetrahedron equations," Candidate's Thesis, LOMI, Leningrad (1990).
14. I. G. Korepanov, "The vacuum vector method in the theory of the Yang-Baxter equation," in: Applied Problems of Mathematical Analysis. Collection of Works [in Russian], Chelyabinsk Polytechnical Institute, Chelyabinsk (1986), pp. 39-48.