Three alternating sign matrix identities in search of bijective proofs
Combinatorics
2007-05-23 v1 History and Overview
Abstract
This paper highlights three known identities, each of which involves sums over alternating sign matrices. While proofs of all three are known, the only known derivations are as corollaries of difficult results. The simplicity and natural combinatorial interpretation of these identities, however, suggest that there should be direct, bijective proofs.
Keywords
Cite
@article{arxiv.math/0007114,
title = {Three alternating sign matrix identities in search of bijective proofs},
author = {David M. Bressoud},
journal= {arXiv preprint arXiv:math/0007114},
year = {2007}
}