Stable Equivalences of Giambelli Type Matrices of Schur Functions [article]

William Y. C. Chen, Arthur L. B. Yang
2005 arXiv   pre-print
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.
arXiv:math/0508008v1 fatcat:p7tyrztusze45ovhhmmqlkvesi