Branching Schubert calculus and the Belkale-Kumar product on cohomology

DOI10.1090/S0002-9939-2010-10681-0zbMath1231.14038arXiv0909.0865MaRDI QIDQ3085049

Nicolas Ressayre, Edward Richmond

Publication date: 28 March 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0865

zbMATH Keywords

Schubert calculusBelkale-Kumar producteigenconestructure constants

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Classical problems, Schubert calculus (14N15)

Related Items (8)

Extremal rays of the embedded subgroup saturation cone ⋮ Reductions for branching coefficients ⋮ Restriction varieties and geometric branching rules ⋮ Symplectic restriction varieties and geometric branching rules. II ⋮ A survey of the additive eigenvalue problem (with Appendix by M. Kapovich) ⋮ A note on branching of \(V( \rho )\) ⋮ Horn inequalities for nonzero Kronecker coefficients ⋮ The Saturation Property for Branching Rules—Examples

Cites Work

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• Geometric invariant theory and generalized eigenvalue problem. II
• Restriction varieties and geometric branching rules
• Multiplicative formulas in Schubert calculus and quiver representation
• A partial Horn recursion in the cohomology of flag varieties
• Singular loci of Schubert varieties
• A multiplicative formula for structure constants in the cohomology of flag varieties
• Eigenvalue problem and a new product in cohomology of flag varieties
• Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups
• Désingularisation des variétés de Schubert généralisées
• Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
• On the structure of parabolic subgroups

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