Artículo
Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (extended abstract)
Autor/es | Briand, Emmanuel
Orellana, Rosa Rosas Celis, Mercedes Helena |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2008 |
Fecha de depósito | 2019-07-03 |
Publicado en |
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Resumen | We show that the Kronecker coefficients indexed by two two–row shapes are given
by quadratic quasipolynomial formulas whose domains are the maximal cells of a fan. Simple
calculations provide explicitly the quasipolynomial ... We show that the Kronecker coefficients indexed by two two–row shapes are given by quadratic quasipolynomial formulas whose domains are the maximal cells of a fan. Simple calculations provide explicitly the quasipolynomial formulas and a description of the associated fan. These new formulas are obtained from analogous formulas for the corresponding reduced Kronecker coefficients and a formula recovering the Kronecker coefficients from the reduced Kronecker coefficients. As an application, we characterize all the Kronecker coefficients indexed by two two-row shapes that are equal to zero. This allowed us to disprove a conjecture of Mulmuley about the behavior of the stretching functions attached to the Kronecker coefficients. |
Identificador del proyecto | MTM2007–64509
FQM–333 |
Cita | Briand, E., Orellana, R. y Rosas Celis, M.H. (2008). Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (extended abstract). ArXiv.org, arXiv:0812.0861 |
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