Non-Crossing Tableaux

Details Non-Crossing Tableaux Non-Crossing Tableaux

2006-07-08

arxiv.org/abs/math/0607211v2

Mathematics

Combinatorics

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

Scientific paper

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.

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