English

A simple proof of associativity and commutativity of LR-coefficients (or the hive ring)

Combinatorics 2007-05-23 v1

Abstract

We give a simple bijective proof of associativity and commutativity of the Littlewood-Richardson coefficients or the hive ring. Specifically, we establish existence a polarized polymatroidal discretely concave functions on the tetrahedron with given boundary values at two adjoint faces.

Keywords

Cite

@article{arxiv.math/0409447,
  title  = {A simple proof of associativity and commutativity of LR-coefficients (or the hive ring)},
  author = {V. Danilov and G. Koshevoy},
  journal= {arXiv preprint arXiv:math/0409447},
  year   = {2007}
}

Comments

18 pages, 9 figures