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Elliptic affine Lie algebras

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Literature Cited

  1. I. M. Krichever and S. P. Novikov, "Virasoro-type algebras, Riemann surfaces, and structures of soliton theory," Funkts. Anal. Prilozhen.,21, No. 2, 46–63 (1987).

    Google Scholar 

  2. I. M. Krichever and S. P. Novikov, "Virasoro-type algebras, Riemann surfaces, and strings in Minkowski space," Funkts. Anal. Prilozhen.,21, No. 4, 47–61 (1987).

    Google Scholar 

  3. V. G. Katz (V. Kac), "Simple irreducible graded Lie algebras of finite growth," Izv. Akad. Nauk SSSR Ser. Mat.,32, No. 6, 1323–1367 (1968).

    Google Scholar 

  4. I. B. Frenkel, "Orbital theory of affine Lie algebras," Inventiones Math.,77, No. 2, 301–352 (1984).

    Google Scholar 

  5. I. N. Bernshtein (I. Bernstein) and O. V. Shvartsman, "The Chevalley theorem for complex crystallographic groups," Funkts. Anal. Prilozhen.,12, No. 4, 79–80 (1978).

    Google Scholar 

  6. I. N. Bernshtein (I. Bernstein) and O. V. Shvartsman, "Complex crystallographic groups generated by reflections, and Macdonald identities," Deposited No. 4E122, Ref. Zh. Fiz. Tverdogo Tela,18E, No. 4 (1977).

  7. G. Segal, "Unitary representation of some infinite dimensional groups," Commun. Math. Phys.,70, No. 3, 301–342 (1981).

    Google Scholar 

  8. P. Hartman, Ordinary Differential Equations, J. Wiley & Sons, Inc., New York—London—Sydney (1964).

    Google Scholar 

  9. M. Jimbo and T. Miwa, "Deformation of ordinary differential equations. I," Proc. Jpn. Acad. Sci., Ser. A,56, No. 4, 143–148 (1980).

    Google Scholar 

  10. O. K. Sheinman, "The Hamiltonian formalism of the string, and discrete groups," Funkts. Anal. Prilozhen.,23, No. 2, 49–54 (1989).

    Google Scholar 

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G. M. Krzhizhanovskii Energetics Institute. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 24, No. 3, pp. 51–61, July–September, 1990.

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Sheinman, O.K. Elliptic affine Lie algebras. Funct Anal Its Appl 24, 210–219 (1990). https://doi.org/10.1007/BF01077962

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