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19982025
most citedGeometric Invariant Theory and Generalized Eigenvalue Problem

59 citations · 213 across the 33 of their papers we have counts for

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28 papers · 1 filter

math.AG2025

An Algorithm to compute the Kronecker cone and other moment cones

Michaël Bulois, Roland Denis, Nicolas Ressayre

We describe a new algorithm that computes the minimal list of inequalities for the moment cone of any representation of a complex reductive group, with implementation details for t…

math.AG2025

HKKN-stratifications in a non-compact framework

Paul-Emile Paradan, Nicolas Ressayre

The aim of this paper is twofold. First, we study HKKN stratifications, both algebraically and analytically, for a Cartesian product between a vector space and a compact K{ä}hler m…

math.AG2023

Intersection multiplicity one for the Belkale-Kumar product in G/B

Nicolas Ressayre, Luca Francone

Consider the complete flag variety of a complex semisimple algebraic group . We show that the structure coefficients of the Belkale-Kumar product , on the cohomolog…

math.AG2022

Bidilatation of Small Littlewood-Richardson Coefficients

Pierre-Emmanuel Chaput, Nicolas Ressayre

The Littlewood-Richardson coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the general linear group GL$(n,…

math.AG2021★ 1 cited

Newell-Littlewood numbers III: eigencones and GIT-semigroups

Shiliang Gao, Gidon Orelowitz, Nicolas Ressayre +1

The Newell-Littlewood numbers are tensor product multiplicities of Weyl modules for the classical groups in the stable range. Littlewood-Richardson coefficients form a special case…

math.AG2021

On the multiplicity spaces for branching to a spherical subgroup of minimal rank

Luca Francone, Nicolas Ressayre

Let g be a complex semi-simple Lie algebra and g be a semisimple subalgebra of g. Consider the branching problem of decomposing the simple g-representations V as a sum of simple gr…