Artículo
The stability of the Kronecker products of Schur functions
Autor/es | Briand, Emmanuel
Orellana, Rosa C. Rosas Celis, Mercedes Helena |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2011-04-01 |
Fecha de depósito | 2016-05-31 |
Publicado en |
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Resumen | 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. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España Junta de Andalucía |
Identificador del proyecto | MTM2007–64509
FQM333 |
Cita | 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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