Eigenvalues of Hermitian matrices and equivariant cohomology of Grassmannians

DOI10.1112/S0010437X13007343zbMath1286.15023arXiv1210.5003OpenAlexW2962953198MaRDI QIDQ5396104

Alexander Yong, Edward Richmond, David Anderson

Publication date: 5 February 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5003

zbMATH Keywords

Hermitian matricesSchubert calculuseigenvalue problemGrassmanniansequivariant cohomologyLittlewood-Richardson coefficients

Mathematics Subject Classification ID

Related Items (5)

Extremal rays of the equivariant Littlewood-Richardson cone ⋮ Integrable systems and crystals for edge labeled tableaux ⋮ The A-B-C-Ds of Schubert calculus ⋮ Vanishing of Littlewood-Richardson polynomials is in P ⋮ Newell-Littlewood numbers

Cites Work

• Geometric invariant theory and generalized eigenvalue problem. II
• Symmetric quivers, invariant theory, and saturation theorems for the classical groups.
• Eigenvalues of Hermitian matrices with positive sum of bounded rank
• A path model for geodesics in Euclidean buildings and its applications to representation theory
• Eigenvalues of sums of Hermitian matrices
• Stable bundles, representation theory and Hermitian operators
• Puzzles and (equivariant) cohomology of Grassmannians
• A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
• The recursive nature of cominuscule Schubert calculus
• Eigenvalue problem and a new product in cohomology of flag varieties
• Geometric proofs of Horn and saturation conjectures
• Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups
• A Littlewood-Richardson rule for factorial Schur functions
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients
• Quantum generalization of the Horn conjecture
• Finite and infinite dimensional generalizations of Klyachko's theorem
• Eigenvalues of majorized Hermitian matrices and Littlewood-Richardson coefficients

This page was built for publication: Eigenvalues of Hermitian matrices and equivariant cohomology of Grassmannians