A GEOMETRIC PROOF OF THE ROBINSON-SCHENSTED-KNUTH CORRESPONDENCE

  • CHOI, SEUL HEE (Department of Mathematics, Jeonju University)
  • Received : 2004.02.28
  • Published : 2004.09.25

Abstract

In this paper, we give a proof of the Robinson-Schensted-Knuth correspondence by using the geometric. construction. We represent a generalized permutation in the first quadrant of the Cartesian plane and find a corresponding pair of semi-standard tableaux of same shape. This work extends the classical geometric construction of Viennot [10] for Robinson-Schensted correspondence.

Keywords

References

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