Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups
DOI10.1090/S1056-3911-09-00517-7zbMath1233.20040arXiv0708.0398MaRDI QIDQ3558023
Shrawan Kumar, Prakash Belkale
Publication date: 29 April 2010
Published in: Journal of Algebraic Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.0398
intersection theoryirreducible representationshighest weightstensor product decompositionsisotropic flagscomplex algebraic groups
Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Inequalities involving eigenvalues and eigenvectors (15A42) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Classical groups (algebro-geometric aspects) (14L35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)
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Cites Work
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- A partial Horn recursion in the cohomology of flag varieties
- A path model for geodesics in Euclidean buildings and its applications to representation theory
- Convexity properties of the moment mapping re-examined
- Stable bundles, representation theory and Hermitian operators
- Singular loci of Schubert varieties
- The recursive nature of cominuscule Schubert calculus
- Eigenvalue problem and a new product in cohomology of flag varieties
- A Pieri-type formula for isotropic flag manifolds
- Schubert calculus and representations of the general linear group
- Geometric proofs of Horn and saturation conjectures
- General isotropic flags are general (for Grassmannian Schubert calculus)
- General Representations of Quivers
- 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
- Special Isogenies and Tensor Product Multiplicities
- Eigenvalues of majorized Hermitian matrices and Littlewood-Richardson coefficients