IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-662-04166-6_30.html
   My bibliography  Save this book chapter

Jeux de tableaux

In: Formal Power Series and Algebraic Combinatorics

Author

Listed:
  • Tom Roby

    (California State University, Department of Mathematics)

  • Frank Sottile

    (University of Massachusetts, Department of Mathematics and Statistics)

  • Jeffrey Stroomer

    (Incorporated, Xilinx)

  • Julian West

    (University of Victoria, Department of Mathematics and Statistics)

Abstract

We study four operations defined on pairs of tableaux. Algorithms for the first three involve the familiar procedures of jeu de taquin, row insertion, and column insertion, respectively. The fourth operation of hopscotch is new, although specialised versions have appeared previously. Like the other three operations, hopscotch may be computed with a set of local rules in a growth diagram, and it preserves Knuth equivalence class. Each of these four operations gives rise to an a priori distinct theory of dual equivalence. We show that these four theories coincide. The four operations are linked via the involutive tableau operations of complementation and conjugation.

Suggested Citation

  • Tom Roby & Frank Sottile & Jeffrey Stroomer & Julian West, 2000. "Jeux de tableaux," Springer Books, in: Daniel Krob & Alexander A. Mikhalev & Alexander V. Mikhalev (ed.), Formal Power Series and Algebraic Combinatorics, pages 332-343, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-04166-6_30
    DOI: 10.1007/978-3-662-04166-6_30
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-662-04166-6_30. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.