English

Non-Crossing Tableaux

Combinatorics 2007-05-23 v2

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, Standard Bitableaux. We adopt a point of view that these standard objects are really non-nesting, and we find their non-crossing counterparts.

Keywords

Cite

@article{arxiv.math/0607211,
  title  = {Non-Crossing Tableaux},
  author = {Pavlo Pylyavskyy},
  journal= {arXiv preprint arXiv:math/0607211},
  year   = {2007}
}

Comments

15 pages, 12 figures; some changes in presentation made, a subsection added