On Horn's conjecture, geometry, combinatorics, and representation theory

zbMath1152.15020MaRDI QIDQ948607

Peter Littelmann

Publication date: 17 October 2008

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

zbMATH Keywords

Hermitian matriceseigenvaluesSchubert calculustheory of invariantssaturation conjecture

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Symmetric functions and generalizations (05E05) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Vector and tensor algebra, theory of invariants (15A72) Grassmannians, Schubert varieties, flag manifolds (14M15) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Semisimple Lie groups and their representations (22E46) Groups with a (BN)-pair; buildings (20E42)

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