59 citations · 213 across the 33 of their papers we have counts for
7 papers · 1 filter
Eigencones and the PRV conjecture
Nicolas Ressayre
Let be a complex semisimple simply connected algebraic group. Given two irreducible representations and of , we are interested in some components of $V_1\otimes…
Branching Schubert calculus and the Belkale-Kumar product on cohomology
Nicolas Ressayre, Edward Richmond
In 2006, Belkale and Kumar define a new product on the cohomology of flag varieties and use this new product to give an improved solution to the eigencone problem for complex reduc…
Spherical homogeneous spaces of minimal rank
Nicolas Ressayre
Let be a complex connected reductive algebraic group and denote the flag variety of . A -homogeneous space is said to be {\it spherical} if acts on …
A cohomology free description of eigencones in type A, B and C
Nicolas Ressayre
Let be a connected compact Lie group. The triples of adjoint -orbits such that contains are parametrized by a closed convex polyhedral…
GIT-cones and quivers
Nicolas Ressayre
In this work, we improve results about GIT-cones associated to the action of any reductive group on a projective variety . These results are applied to give a short proof of…
Geometric Invariant Theory and Generalized Eigenvalue Problem II
Nicolas Ressayre
Let be a connected reductive subgroup of a complex connected reductive group . Fix maximal tori and Borel subgroups of and . Consider the cone $LR^\circ(\…
A short geometric proof of a conjecture of Fulton
Nicolas Ressayre
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 Honeyco…