A short geometric proof of a conjecture of Fulton

Nicolas Ressayre

doi:10.4171/LEM/57-1-5

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A short geometric proof of a conjecture of Fulton

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A short geometric proof of a conjecture of Fulton

Nicolas Ressayre

L'Enseignement Mathématique , Vol.57(1), pp.103-115

30/06/2011

DOI: https://doi.org/10.4171/LEM/57-1-5

Abstract

Horn's conjecture

Coefficients de Littlewood-Richardson

Horn's conjecture.

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.

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Title: A short geometric proof of a conjecture of Fulton
Creators - without role: Nicolas Ressayre - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Publication Details: L'Enseignement Mathématique , Vol.57(1), pp.103-115
Identifiers: 9935419909311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-00355549