A stability property for coefficients in Kronecker products of complex \(S_{n}\) characters
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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In this note we make explicit a stability property for Kronecker coefficients that is implicit in a theorem of Y. Dvir. Even in the simplest nontrivial case this property was overlooked despite of the work of several authors. As applications we give a new vanishing result and a new formula for some Kronecker coefficients.
DOI : 10.37236/260
Classification : 05E10, 20C30
Mots-clés : stability property, Kronecker coefficient
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     author = {Ernesto Vallejo},
     title = {A stability property for coefficients in {Kronecker} products of complex {\(S_{n}\)} characters},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/260},
     zbl = {1185.05151},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/260/}
}
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Ernesto Vallejo. A stability property for coefficients in Kronecker products of complex \(S_{n}\) characters. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/260

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