Geodesic
Algebraic Integrability of the Two-Body Ruijsenaars Operator
Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 2, pp. 8-25.

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A. N. Varchenko; G. Felder. Algebraic Integrability of the Two-Body Ruijsenaars Operator. Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 2, pp. 8-25. http://geodesic.mathdoc.fr/item/FAA_1998_32_2_a1/

[1] Braverman A., Etingof P., Gaitsgory D., Differential Galois Groups and Algebraic Integrability of Quantum Integrable Systems, arXiv: /Alg-geom/9607012

[2] Chalykh O., Veselov A., “Commutative rings of differential operators and Lie algebras”, Commun. Math. Phys., 126 (1990), 597–611 | DOI | MR | Zbl

[3] Dubrovin B. A., Matveev V. B., Novikov S. P., “Nelineinye uravneniya tipa Kortevega–de Friza, konechnozonnye lineinye operatory i abelevy mnogoobraziya”, UMN, 31 (1976), 55–136 | MR | Zbl

[4] Felder G., Varchenko A., “Algebraic Bethe ansatz for the elliptic quantum group $E_{\tau,\eta}(sl_2)$”, Nucl. Phys. B, 480 (1996), 485–503 | DOI | MR | Zbl

[5] Krichever I. M., “Algebraicheskie krivye i nelineinye raznostnye uravneniya”, UMN, 33:4 (1978), 215–216 | MR | Zbl

[6] Krichever I. M., Novikov S. P., “Algebry tipa Virasoro, rimanovy poverkhnosti i struktury teorii solitonov”, Funkts. analiz i pril., 21:2 (1987), 46–63 | MR | Zbl

[7] Krichever I., Zabrodin A., Spin Generalization of the Ruijsenaars–Schneider Molinebreak del Non-Abelian 2D Toda Chain and Representations of Sklyanin Algebra, arXiv: /hep-th/9505039 | MR

[8] Mamford D., “Algebro-geometric constraction of commuting operators and of solutions of the Toda latticeequation, Korteweg-de Vries equation andrelated non-linear equations”, Proc. Intern. Symp. Algebraic Geometry (Kyoto, 1977), Kinokuniya Book Store, Tokyo, 1978, 115–153 | MR

[9] Ruijsenaars S. N. M., “Complete integrability of relativistic Calogero–Moser systems and elliptic function identities”, Commun. Math. Phys., 110 (1987), 191–213 | DOI | MR | Zbl

[10] Sklyanin E. K., “O nekotorykh algebraicheskikh strukturakh, svyazannykh s uravneniyami Yanga–Bakstera. Predstavleniya kvantovoi algebry”, Funkts. analiz i ego pril., 17:4 (1983), 34–48 | MR | Zbl

[11] Verlinde E., “Fusion rules and modular transformations in 2D conformal field theory”, Nucl. Phys. B, 300 (1987), 360–376 | DOI | MR

[12] Whittaker E. T., Watson G. N., A Course of Modern Analysis, Cambridge University Press, 1915 | MR | Zbl