Skip to main content
Log in

Combinatorial properties of rational representations of the groupGL(n, ℂ)

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

A generalized Robinson-Schensted-Knuth correspondence related to the decomposition of representations of GL(n, ℂ) in mixed tensor spaces is constructed. Bibliography: 5 titles.

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.

Similar content being viewed by others

Literature Cited

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

    Google Scholar 

  2. J. R. Stembridge, “Rational tableaux and the tensor algebra ofgl n ”,J. Comb. Theory (A),46, 79–120 (1987).

    Article  MATH  MathSciNet  Google Scholar 

  3. H. Weyl,The Classical Groups, Princeton, New Jersey (1946).

  4. R. P. Stanley, “Theory and applications of plain partitions”,Stud. Appl. Math.,50, 167–188 (1971).

    MATH  MathSciNet  Google Scholar 

  5. I. G. Macdonald,Symmetric Functions and Hall Polynomials, Oxford University Press (1979).

Download references

Authors

Additional information

To Olga Alexandrovna Ladyzhenskaya on the occasion of her jubilee

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 200, 1992, pp. 83–90.

Translated by N. B. Lebedinskaya.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kerov, S.V., Kirillov, A.N. Combinatorial properties of rational representations of the groupGL(n, ℂ). J Math Sci 77, 3190–3194 (1995). https://doi.org/10.1007/BF02364709

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02364709

Keywords

Navigation