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