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Literature Cited
D. Mumford, Abelian Varieties, Oxford Univ. Press, Oxford (1970).
E. K. Sklyanin, "On certain algebraic structures, connected with the Yang—Baxter equations," Funkts. Anal. Prilozhen.,16, No. 4, 22–34 (1982).
E. K. Sklyanin, "On certain algebraic structures, connected with the Yang—Baxter equations. II. Representations of a quantum algebra," Funkts. Anal. Prilozhen.,17, No. 4, 34–48 (1983).
A. M. Vershik, "Algebras with quadratic relations," in: Spectral Theory of Operators and Infinite-Dimensional Analysis [in Russian], Izd. Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1984), pp. 32–57.
V. G. Drinfel'd, "On quadratic commutation relations in a quasiclassical case," in: Mathematical Physics, Functional Analysis, Collection of Scientific Works [in Russian], Naukova Dumka, Kiev (1986), pp. 24–34.
I. V. Cherednik, "On the R-matrix quantization of a formal loop group," in: Group-Theoretic Methods in Physics [in Russian], Vol. 2, Proceedings of the Yurmala Conference, May 1985, Nauka, Moscow (1986), pp. 218–232.
A. A. Kirillov, Elements of Representation Theory [in Russian], Nauka, Moscow (1978).
A. V. Odesskii and B. L. Feigin, The Sklyanin Algebras Associated with an Elliptic Curve [in Russian], Izd. Inst. Teor. Fiz. Akad. Nauk Ukr. SSR, Kiev (1988).
Additional information
M. V. Lomonosov Moscow State University. Institute for Solid-State Physics. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 23, No. 3, pp. 45–54, July–September, 1989.
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Odesskii, A.V., Feigin, B.L. Sklyanin elliptic algebras. Funct Anal Its Appl 23, 207–214 (1989). https://doi.org/10.1007/BF01079526
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DOI: https://doi.org/10.1007/BF01079526