Geodesic
Stable equivalence over symmetric functions
The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2
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By using cutting strips and transformations on outside decompositions of a skew diagram, we show that the Giambelli-type matrices for a given skew Schur function are stably equivalent to each other over symmetric functions. As a consequence, the Jacobi-Trudi matrix and the transpose of the dual Jacobi-Trudi matrix are stably equivalent over symmetric functions. This leads to an affirmative answer to a question proposed by Kuperberg.
DOI : 10.37236/1880
Classification : 05E05
Mots-clés : cutting strips, transformations, outside decompositions, Giambelli-type matrices, Jacobi-Trudi matrix 
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     author = {William Y. C. Chen and Arthur L. B. Yang},
     title = {Stable equivalence over symmetric functions},
     journal = {The electronic journal of combinatorics},
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     doi = {10.37236/1880},
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William Y. C. Chen; Arthur L. B. Yang. Stable equivalence over symmetric functions. The electronic journal of combinatorics, The Stanley Festschrift volume, Tome 11 (2004) no. 2. doi: 10.37236/1880

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