Non-crossing tableaux

Pavlo Pylyavskyy

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


In combinatorics there is a well-known duality between non-nesting and non-crossing objects. In algebra there are many objects which are standard, for example, standard Young tableaux, standard monomials, and standard bitableaux. We adopt a point of view that these standard objects are really non-nesting, and we find their non-crossing counterparts.

Original languageEnglish (US)
Pages (from-to)323-339
Number of pages17
JournalAnnals of Combinatorics
Issue number3
StatePublished - Oct 1 2009


  • Non-crossing bitableaux
  • Non-crossing monomials
  • Non-crossing tableaux
  • Specht module
  • Standard Young tableaux
  • Standard bitableaux
  • Standard monomials
  • Weyl module
  • Young symmetrizer


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