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


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.


Rational Representation Combinatorial Property Tensor Space Mixed Tensor Mixed Tensor Space 
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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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