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The stability of the Kronecker products of Schur functions | | Emmanuel Briand
; Rosa Orellana
; Mercedes Rosas
; | | Date: |
27 Jul 2009 | | 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 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. | | Source: | arXiv, 0907.4652 | | Services: | Forum | Review | PDF | Favorites | |
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