Stable Equivalences of Giambelli Type Matrices of Schur Functions
Combinatorics
2007-05-23 v1
Abstract
By using cutting strips and transformations on outside decompositions of a skew diagram, we show that the Giambelli type matrices of a skew Schur function are stably equivalent to each other over symmetric functions. As a consequence, the Jacobi-Trudi matrix and the dual Jacobi-Trudi matrix are stably equivalent over symmetric functions. This gives an affirmative answer to an open problem posed by Kuperberg.
Keywords
Cite
@article{arxiv.math/0508008,
title = {Stable Equivalences of Giambelli Type Matrices of Schur Functions},
author = {William Y. C. Chen and Arthur L. B. Yang},
journal= {arXiv preprint arXiv:math/0508008},
year = {2007}
}
Comments
16 pages, 4 figures