Bijective proofs for Schur function identities
Combinatorics
2009-09-30 v1
Abstract
Gurevich, Pyatov and Saponov recently stated an expansion for the product of two Schur functions and gave a proof based on the Pluecker relations. Here we show that this identity is in fact a special case of a quite general Schur function identity, which was stated and proved in a paper by Fulmek and Kleber, where it was used to prove bijectively Dodgsons condensation formula and the Pluecker relations, but was not paid further attention: So we take the opportunity to make obvious the range of applicability of this identity by giving concrete examples, accompanied by many graphical illustrations.
Keywords
Cite
@article{arxiv.0909.5334,
title = {Bijective proofs for Schur function identities},
author = {Markus Fulmek},
journal= {arXiv preprint arXiv:0909.5334},
year = {2009}
}