T. Kyle Petersen, Pavlo Pylyavskyy, David E Speyer
Published 2008-06-11Version 1
The second author has introduced non-crossing tableaux, objects whose non-nesting analogues are semi-standard Young tableaux. We relate non-crossing tableaux to Gelfand-Tsetlin patterns and develop the non-crossing analogue of standard monomial theory. Leclerc and Zelevinsky's weakly separated sets are special cases of non-crossing tableaux, and we suggest that non-crossing tableaux may help illuminate the theory of weakly separated sets.
Comments: 23 pages, 7 figures
Series expansions for $1/π^m$ and $π^m$
Simple Procedures for Left and Right Keys of semi-standard Young tableaux
A Filtration of (q,t)-Catalan numbers
![QR code for arXiv:0806.1776 [math.CO]](http://oss.arxitics.com/images/favicon.svg)