Maximal rank subgroups and strong functoriality of the additive eigencone

DOI10.1007/s00031-021-09676-7zbMath1487.20017arXiv1608.06215OpenAlexW3214148668MaRDI QIDQ2075059

Michael J. Schuster

Publication date: 11 February 2022

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06215

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Uses Software

• LiE

Cites Work

• Geometric invariant theory and generalized eigenvalue problem. II
• The multiplicative eigenvalue problem and deformed quantum cohomology
• Quantum Pieri rules for isotropic Grassmannians
• Eigenvalues of sums of Hermitian matrices
• Stable bundles, representation theory and Hermitian operators
• Kac-Moody groups, their flag varieties and representation theory
• A survey of the additive eigenvalue problem (with Appendix by M. Kapovich)
• Eigenvalue problem and a new product in cohomology of flag varieties
• Polygons in buildings and their refined side lengths
• Geometric proofs of Horn and saturation conjectures
• Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups
• 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
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