Stable Equivalences of Giambelli Type Matrices of Schur Functions

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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.
16 pages, 4 figures

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Combinatorics, 05E05, 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/75938

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508008
 http://arxiv.org/abs/math/0508008

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arXiv