A stability property for coefficients in Kronecker products of complex \(S_{n}\) characters
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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
Mots-clés : stability property, Kronecker coefficient
@article{10_37236_260,
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/}
}
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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