Skip to main content
SpringerLink
Log in

Nonlinear group representations and evolution equations

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

The theory of nonlinear evolution equations developed by M. Flato, J. Simon and a few others is reviewed. The method of construction of global solutions is described and the cohomological and analytic properties of linearizability of these equations are described.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

Main references

  1. Flato M., Pinczon G., Simon J.: Ann. Ec. Norm. Sup.10 (1977) 405.

    Google Scholar 

  2. Flato M., Simon J.: Lett. Math. Phys.2 (1977) 155; Lett. Math. Phys.3 (1979) 279; J. Math. Phys.21 (1980) 913; Physics Letters94B (1980) 518.

    Google Scholar 

  3. Pinczon G., Simon J.: Reports on Math. Phys.16 (1979) 49; Lett. Math. Phys.2 (1978) 499.

    Google Scholar 

  4. Pinczon G., Simon J.: Models of nonlinear representations, to be published.

  5. Simon J.: Analytic linearizability for massive Poincaré representation, to be published.

  6. Taflin E.: University of Geneva, preprints DPT 04-288 (Burger) and DPT 06-199 (KdV).

Background references

  1. Kosmann-Schwarzbach Y.: Lett. Math. Phys.3 (1979) 395; ibid.5 (1981) 229 (for vertical bracket and all that); Lecture Notes in Math. vol. 792 (Springer, 1980), p. 307; C. R. Acad. Sc. Paris287 (1978) 953;

    Google Scholar 

  2. Sternheimer D.: Proceedings 1979 Lausanne Math. Phys. Conference. Lecture Notes in Physics, Springer, 1980 (for short review).

  3. Simon: Proceedings 1979 Lausanne Math. Phys. Conference. Lecture Notes in Physics, Springer, 1980 (for short review).

  4. Hermann R., Guillemin V., Sternberg S.: Trans. Amer. Math. Soc.130 (1968) (for linearizability of finite-dimensional action with fixed point of a semi-simple Lie algebra).

  5. Poincaré H. (In Oeuvres Complètes) (for 1 analytic vector field).

  6. Nachbin L.: Topology on spaces of holomorphic mappings, (Springer, 1969).

  7. Boland P. J., Dineen S.: Lecture Notes in Math., vol 474 (Springer, 1975) (for analytic functions on locally convex spaces).

Download references

Author information

Authors and Affiliations

  1. Physique Mathématique, Collège de France, Paris

    D. Sternheimer

  2. Faculté des Sciences, Dijon University, F-21000, Dijon, France

    D. Sternheimer

Authors
  1. D. Sternheimer
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Invited talk at the International Symposium “Selected Topics in Quantum Field Theory and Mathematical Physics”, Bechyně, Czechoslovakia, June 14–19, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sternheimer, D. Nonlinear group representations and evolution equations. Czech J Phys 32, 565–572 (1982). https://doi.org/10.1007/BF01596847

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01596847

Keywords

Search

Navigation