Briand, EmmanuelOrellana, Rosa C.Rosas Celis, Mercedes Helena2016-05-312016-05-312011-04-01Briand, E., Orellana, R.C. y Rosas Celis, M.H. (2011). The stability of the Kronecker products of Schur functions. Journal of Algebra, 331 (1), 11-27.0021-8693http://hdl.handle.net/11441/41688In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur functions. For n sufficiently large, the values of the Kronecker coefficients appearing in the product of two Schur functions of degree n do not depend on the first part of the indexing partitions, but only on the values of their remaining parts. We compute the exact value of n for which all the coefficients of a Kronecker product of Schur functions stabilize. We also compute two new bounds for the stabilization of a sequence of coefficients and show that they improve existing bounds of M. Brion and E. Vallejo.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jalgebra.2010.12.026