Skip to main content
Log in

Reduction of Hamiltonian systems, affine Lie algebras and Lax equations II

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Reyman, A.G., Semenov-Tian-Shansky, M.A.: Reduction of Hamiltonian systems, affine Lie algebras and Lax equations. Inventiones math.54, 81–100 (1979)

    Google Scholar 

  2. Dubrovin, B.A., Matveev, V.B., Novikov, S.P.: Nonlinear equations of the Korteweg-de Vries type and Abelian varieties. Uspekhi Math. Nauk31, 55–136 (1976) (Russian)

    Google Scholar 

  3. Krichever, I.M.: Algebraic curves and nonlinear difference equations. Uspekhi Mat. Nauk34, 215–216 (1978) (Russian)

    Google Scholar 

  4. Moerbeke, P., Mumford, D.: The spectrum of difference operators and algebraic curves. Acta Math.143, 93–154 (1979)

    Google Scholar 

  5. Adler, M., Moerbeke, P.: Completely integrable systems, Kac-Moody Lie algebras and curves. Adv. Math. in press (1981)

  6. Gohberg, I.Z., Feldman, I.A.: Convolution equations and projectional methods of their solution. Moscow: “Nauka” 1971 (Russian)

    Google Scholar 

  7. Reyman, A.G., Semenov-Tian-Shansky, M.A.: Current algebras and nonlinear partial differntial equations. Doklady AN SSSR251, 1310–1314 (1980) Sov. Math. Doklady (in press)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reyman, A.G., Semenov-Tian-Shansky, M.A. Reduction of Hamiltonian systems, affine Lie algebras and Lax equations II. Invent Math 63, 423–432 (1981). https://doi.org/10.1007/BF01389063

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389063

Keywords

Navigation