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Some algebraic structures connected with the Yang—Baxter equation. Representations of quantum algebras

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Literature Cited

  1. E. K. Sklyanin, "Some algebraic structures connected with the Yang—Baxter equation," Funct. Anal. Appl.,16, No. 4, 27–34 (1982).

    Google Scholar 

  2. H. Bateman and A. Erdelyi, Higher Transcendental Functions, Vol. 3. Elliptic and Automorphic Functions. Lamé and Mathieu Functions. [Russian translation], Nauka, Moscow (1967).

    Google Scholar 

  3. H. Weber, Lehrbuch der Algebra, B. III. Elliptische Funktionen und Algebraische Zahlen, F. Vieweg und Sohn, Braunschweig (1908).

    Google Scholar 

  4. I. V. Cherednik, "On some S-matrices connected with Abelian varieties," Dokl. Akad. Nauk SSSR,249, No. 5, 1095–1098 (1979).

    Google Scholar 

  5. P. Halmos, A Hilbert Space Problem Book, Van Nostrand, Princeton, New Jersey (1967).

    Google Scholar 

  6. A. Barut and R. Ronchka, Theory of Group Representations and Its Applications [Russian translation], Nauka, Moscow (1980).

    Google Scholar 

  7. P. P. Kulish and N. Yu. Reshetikhin, "The quantum linear problem for the sine-Gordon equation, and higher representations," in: Problems in Quantum Field Theory and Statistical Physics, Vol. 2 (Zap. Nauchn. Sem. LOMI 101), Nauka, Leningrad (1980), pp. 101–110.

    Google Scholar 

  8. A. G. Izergin and V. E. Korepin, "Lattice versions of quantum field theory models in two dimensions," Nucl. Phys., B, B205 [FS5], No. 3, 401–413 (1982).

    Google Scholar 

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V. A. Steklov Mathematics Institute, Leningrad Branch, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 17, No. 4, pp. 34–48, October–December, 1983.

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Sklyanin, E.K. Some algebraic structures connected with the Yang—Baxter equation. Representations of quantum algebras. Funct Anal Its Appl 17, 273–284 (1983). https://doi.org/10.1007/BF01076718

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  • DOI: https://doi.org/10.1007/BF01076718

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