An S_3-symmetric Littlewood-Richardson rule
Combinatorics
2010-02-18 v1 Representation Theory
Abstract
The classical Littlewood-Richardson coefficients C(lambda,mu,nu) carry a natural symmetry via permutation of the indices. Our "carton rule" for computing these numbers transparently and uniformly explains these six symmetries; previously formulated Littlewood-Richardson rules manifest at most three of the six.
Keywords
Cite
@article{arxiv.0704.0817,
title = {An S_3-symmetric Littlewood-Richardson rule},
author = {Hugh Thomas and Alexander Yong},
journal= {arXiv preprint arXiv:0704.0817},
year = {2010}
}
Comments
9 pages