Article
The stability of the Kronecker products of Schur functions
Author/s | Briand, Emmanuel
Orellana, Rosa C. Rosas Celis, Mercedes Helena |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2011-04-01 |
Deposit Date | 2016-05-31 |
Published in |
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Abstract | In 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 ... In 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. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España Junta de Andalucía |
Project ID. | MTM2007–64509
FQM333 |
Citation | Briand, 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. |
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