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Some order-theoretic properties of the Robinson-Schensted correspondence

  • Algèbre Des Tableaux De Young
  • Conference paper
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Combinatoire et Représentation du Groupe Symétrique

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 579))

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References

  1. C. Greene, "An extension of Schensted's Theorem", Advances in Math. 14 (1974), 254–265.

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  2. C. Greene, "Some Partitions Associated with a Partially Ordered Set", Journal Combinatorial Theory 20 (1976), 69–79.

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  3. C. Greene, "Sperner Families and Partitions of a Partially Ordered Set", Math. Centre (Amsterdam) Tracts 56 (1974), 91–106. Also in: Combinatorics, M. Hall and J. H. van Lint, eds., D. H. Reidel, Amsterdam, 1975.

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  4. C. Greene, D. J. Kleitman, "The Structure of Sperner k-Families", Journal Combinatorial Theory 20 (1976), 41–68.

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  5. D. E. Knuth, "Permutations, Matrices, and Generalized Young Tableaux", Pacific J. Math. 34 (1970), 709–727.

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  6. G. de B. Robinson, "On the Representations of the symmetric group", Amer. J. Math. 60 (1934), 745–760; 69 (1947), 286–298; 70 (1948), 277–294.

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  7. C. Schensted, "Longest increasing and decreasing subsequences", Canad. J. Math. 13 (1961), 179–191.

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  8. M. P. Schützenberger, "Quelques remarques sur une construction de Schensted", Math. Scand. 12 (1963), 117–128.

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Author information

Author notes

  1. Curtis Greene

    Present address: Department of Mathematics, State University of New York at Buffalo, 4246 Ridge Lea Road, 14226, Amherst, New York, U.S.A.

Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, Massachusetts

    Curtis Greene

Authors
  1. Curtis Greene
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Dominique Foata

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© 1977 Springer-Verlag

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Greene, C. (1977). Some order-theoretic properties of the Robinson-Schensted correspondence. In: Foata, D. (eds) Combinatoire et Représentation du Groupe Symétrique. Lecture Notes in Mathematics, vol 579. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090013

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  • DOI: https://doi.org/10.1007/BFb0090013

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08143-2

  • Online ISBN: 978-3-540-37385-8

  • eBook Packages: Springer Book Archive

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