Skip to main content
SpringerLink
Log in

Asymptotic theory of characters of the symmetric group

  • 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. O. Bratteli, "Inductive limits of finite dimensional C*-algebras," Trans. Am. Math. Soc.,171, 195–234 (1972).

    Google Scholar 

  2. J. C. Dixmier, C Algebras, Elsevier (1977).

  3. G. A. Elliott, "On the classification of inductive limits of sequences of semisimple finite-dimensional algebras," J. Algebra,38, 29–44 (1976).

    Google Scholar 

  4. J. Feldman and C. C. Moore, "Ergodic equivalence relations cohomology and von Neumann algebras. I," Trans. Am. Math. Soc.,234, 289–324 (1977).

    Google Scholar 

  5. G. D. James, "The representation theory of the symmetric groups," Lect. Notes Math.,682 (1978).

  6. D. E. Knuth, The Art of Computer Programming, Vol. 3, Addison-Wesley (1973).

  7. "Combinatoire et representation du group symetrique," Lect. Notes Math.,579 (1977).

  8. B. F. Logan and L. A. Shepp, "A variational problem for random Young tableaux," Adv. Math.,26, 206–222 (1977).

    Google Scholar 

  9. F. D. Murnaghan, Theory of Representations of Groups [Russian translation], IL, Moscow (1950).

    Google Scholar 

  10. G. de B. Robinson, Representation Theory of the Symmetric Group, Edinburgh Univ. Press (1961).

  11. R. P. Stanley, "The Fibonacci lattice," Fibonacci Q.,13, No. 3, 215–232 (1975).

    Google Scholar 

  12. E. Thoma, "Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe," Math. Z.,85, 40–61 (1964).

    Google Scholar 

  13. A. M. Vershik, "Description of invariant measures for actions of some infinite groups," Dokl. Akad. Nauk SSSR,218, No. 4, 749–752 (1974).

    Google Scholar 

  14. A. M. Vershik, I. M. Gel'fand, and M. I. Graev, "Representations of the group SL(2, R), where R is a ring of functions," Usp. Mat. Nauk,28, No. 5, 83–128 (1973).

    Google Scholar 

  15. A. M. Vershik and S. V. Kerov, "Asymptotics of the Plancherel measure of the symmetric group and limits of Young tableaux," Dokl. Akad. Nauk SSSR,233, No. 6, 1024–1027 (1977).

    Google Scholar 

  16. A. M. Vershik and S. V. Kerov, "Characters and factor-representations of the infinite symmetric group," Dokl. Akad. Nauk SSSR,257, No. 5, 1037–1040 (1981).

    Google Scholar 

  17. S. V. Kerov and A. M. Versik, "Characters factor-representations and K-functor of the infinite symmetric group," in: Proceedings of the International Conference on Operator Algebras and Group Representations (1980).

  18. S. Strătilă and D. Voiculescu, "Representations of AF-algebras and of the group U (∞)," Lect. Notes Math.,486 (1975).

  19. E. G. Effros, D. E. Handelman, and Chao-Liang Shen, "Dimension groups and their affine representations," Am. J. Math.,102, 385–407 (1980).

    Google Scholar 

Download references

Authors
  1. A. M. Vershik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. V. Kerov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Leningrad State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 15, No. 4, pp. 15–27, October–December, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vershik, A.M., Kerov, S.V. Asymptotic theory of characters of the symmetric group. Funct Anal Its Appl 15, 246–255 (1981). https://doi.org/10.1007/BF01106153

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01106153

Keywords

Search

Navigation