\(\mathrm{Horn}(p, q)\)

DOI10.1007/s00029-023-00855-wzbMath1525.32013arXiv2006.08989OpenAlexW4383068866MaRDI QIDQ6132653

Paul-Emile Paradan

Publication date: 14 July 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08989

zbMATH Keywords

coadjoint orbitspseudo-unitary groupsHorn's conjectureHorn cone

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Complex Lie groups, group actions on complex spaces (32M05)

Cites Work

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• Geometric invariant theory and generalized eigenvalue problem. II
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• A survey of the additive eigenvalue problem (with Appendix by M. Kapovich)
• Eigenvalue problem and a new product in cohomology of flag varieties
• The connection between representation theory and Schubert calculcus
• Geometric proofs of Horn and saturation conjectures
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
• Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients
• Ressayre’s pairs in the Kähler setting
• HORN PROBLEM FOR QUASI-HERMITIAN LIE GROUPS

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