A non-crossing standard monomial theory
Combinatorics
2008-06-12 v1 Commutative Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.0806.1776,
title = {A non-crossing standard monomial theory},
author = {T. Kyle Petersen and Pavlo Pylyavskyy and David E Speyer},
journal= {arXiv preprint arXiv:0806.1776},
year = {2008}
}
Comments
23 pages, 7 figures