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- Institut Camille JordanFR231 papers
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14 papers · 1 filter
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…
A local-global principle for twisted flag varieties
Philippe Gille, Raman Parimala
We prove a local-global principle for twisted flag varieties over a semiglobal field.
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,…
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…
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…
Estimates on volumes of homogeneous polynomial spaces
Itaï Ben Yaacov
In this paper we develop the "local part" of our local/global approach to globally valued fields (GVFs). The "global part", which relies on these results, is developed in a subsequ…