This is a preview of subscription content, log in via an institution to check access.
References
D. Mumford, Abelian Varieties, Oxford Univ. Press, London (1970).
E. K. Sklyanin, “On some algebraic structures related to the Yang—Baxter equation,” Funkts. Anal. Prilozhen.,16, No. 4, 22–34 (1982).
E. K. Sklyanin, “On some algebraic structures related to the Yang—Baxter equation. II. Representations of a quantum algebra,” Funkts. Anal. Prilozhen.,17, No. 4, 34–48 (1983).
I. V. Cherednik, OnR-Matrix Quantization of the Group of Formal Currents, Group-Theoretic Methods in Physics, Vol. 2 [in Russian] (Jūrmala, 1985), Nauka, Moscow (1986), pp. 218–232.
A. V. Odesskii and B. L. Feigin, Sklyanin Algebras Associated with an Elliptic Curve [in Russian], Institute for Theoretical Physics, Kiev (1988).
A. V. Odesskii and B. L. Feigin, “Sklyanin's elliptic algebras,” Funkts. Anal. Prilozhen.,23, No. 3, 45–54 (1989).
A. V. Odesskii, Rational Degeneration of Elliptic Quadratic Algebras, RIMS91, Project “Infinite Analysis,” June 1–August 31, 1991.
G. Bergman, “The diamond lemma for ring theory,” Adv. Math.,29, 175–218 (1979).
S. Priddy, “Koszul resolution,” Trans. Amer. Math. Soc.,152, 39–60 (1970).
Additional information
Institute of New Technologies, RAN. Institute for Theoretical Physics, RAN. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 27, No. 1, pp. 37–45, January–March, 1993.
Rights and permissions
About this article
Cite this article
Odesskii, A.V., Feigin, B.L. Constructions of Sklyanin elliptic algebras and quantumR-Matrices. Funct Anal Its Appl 27, 31–38 (1993). https://doi.org/10.1007/BF01768666
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01768666