A short geometric proof of a conjecture of Fulton

Nicolas Ressayre (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

We give a new geometric proof of a conjecture of Fulton on the Littlewood-Richardson coefficients. This conjecture was firstly proved by Knutson, Tao and Woodward using the Honeycomb theory. A geometric proof was given by Belkale. Our proof is based on the geometry of Horn's cones.

Mots clés: Horn's conjecture; Coefficients de Littlewood-Richardson; Horn's conjecture.

Domaines: Géométrie algébrique [math.AG]; Théorie des représentations [math.RT]

Nicolas Ressayre. A short geometric proof of a conjecture of Fulton. 2009. ⟨hal-00355549⟩