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Some order-theoretic properties of the Robinson-Schensted correspondence

Algèbre Des Tableaux De Young

Part of the Lecture Notes in Mathematics book series (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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© 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

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