Graph explorer

Between two moments

In this short note, we draw attention to a relation between two Horn polytopes which is proved in [Chenciner-Jiménez Pérez] as the result on the one side of a deep combinatorial result in [Fomin,Fulton, Li,Poon], on the other side of a simple computation involving complex structures. This suggested an inequality between Littlewood-Richardson coefficients which we prove using the symmetric characterization of these coefficients given in [Carré,Leclerc].