Skip to main content
SpringerLink
Log in

Displacement of invariants of groups that are generated by reflections and are connected with simple singularities of functions

  • Published:
Functional Analysis and Its Applications Aims and scope

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

Literature Cited

  1. N. Bourbaki, Lie Groups and Lie Algebras, Chapters IV–VI [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  2. V. I. Arnol'd, "Normal forms of functions near degenerate critical points, the Weyl groups Ak, Dk, Ek and the Lagrangian singularities," Funkts. Anal.,6, No. 4, 3–25 (1972).

    Google Scholar 

  3. V. I. Arnol'd, "Critical points of functions on a manifold with boundary, the simple Lie groups Bk, Ck, F4, and the singularities of the evolutes," Usp. Mat. Nauk,33, No. 2, 91–105 (1978).

    Google Scholar 

  4. V. I. Arnol'd, "Indices of singular points of 1-forms on a manifold with boundary, displacement of invariants of groups, generated by reflections, and singular points of projections of smooth surfaces," Usp. Mat. Nauk,34, No. 2, 3–38 (1979).

    Google Scholar 

  5. V. I. Arnol'd, Supplementary Chapters of Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  6. O. V. Lyashko, "Geometry of Swallowtails," Usp. Mat. Nauk,34, No. 3, 205–206 (1979).

    Google Scholar 

  7. V. M. Zakalyukin, "Reconstructions of wave fronts, depending on one parameter," Funkts. Anal.,10, No. 2, 69–70 (1976).

    Google Scholar 

  8. V. I. Arnol'd [V. I. Arnold], "Wave fronts evolution and equivariant Morse lemma," Commun. Pure Appl. Math.,29, No. 6, 557–582 (1976).

    Google Scholar 

  9. P. Slodowy, Einfache Singularitäten und Einfache Algebraische Gruppen, Regensburger Math. Schriften, Vol. 2, University of Regensburg (1978).

  10. J. Sekiguchi and T. Yano, "The algebra of invariants of the Weyl group W(F4)," Sci. Reports Saitama Univ.,A9, No. 2, 21–32 (1979).

    Google Scholar 

Download references

Authors
  1. A. B. Givental’
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

I. M. Gubkin Institute for Petroleum Technology and Gas Industry. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 14, No. 2, pp. 4–14, April–June, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Givental’, A.B. Displacement of invariants of groups that are generated by reflections and are connected with simple singularities of functions. Funct Anal Its Appl 14, 81–89 (1980). https://doi.org/10.1007/BF01086548

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01086548

Keywords

Search

Navigation