Non-crossing tableaux

Pavlo Pylyavskyy

doi:10.1007/s00026-009-0025-x

Non-crossing tableaux

Pavlo Pylyavskyy

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	323-339
Number of pages	17
Journal	Annals of Combinatorics
Volume	13
Issue number	3
DOIs	https://doi.org/10.1007/s00026-009-0025-x
State	Published - Oct 1 2009

Keywords

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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KW - Non-crossing monomials

KW - Non-crossing tableaux

KW - Specht module

KW - Standard Young tableaux

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KW - Standard monomials

KW - Weyl module

KW - Young symmetrizer

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Non-crossing tableaux

Abstract

Keywords

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