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Journal of Mathematical Sciences

, Volume 77, Issue 3, pp 3190–3194 | Cite as

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

  • S. V. Kerov
  • A. N. Kirillov
Article
  • 24 Downloads

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.

Keywords

Rational Representation Combinatorial Property Tensor Space Mixed Tensor Mixed Tensor Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature Cited

  1. 1.
    D. E. Knuth,The Art of Computer Programming, Vol. 3, Addison-Wesley, London (1973).Google Scholar
  2. 2.
    J. R. Stembridge, “Rational tableaux and the tensor algebra ofgl n”,J. Comb. Theory (A),46, 79–120 (1987).CrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    H. Weyl,The Classical Groups, Princeton, New Jersey (1946).Google Scholar
  4. 4.
    R. P. Stanley, “Theory and applications of plain partitions”,Stud. Appl. Math.,50, 167–188 (1971).MATHMathSciNetGoogle Scholar
  5. 5.
    I. G. Macdonald,Symmetric Functions and Hall Polynomials, Oxford University Press (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • S. V. Kerov
  • A. N. Kirillov

There are no affiliations available

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