From orbital measures to Littlewood-Richardson coefficients and hive polytopes

DOI10.4171/AIHPD/57zbMath1429.17009arXiv1706.02793MaRDI QIDQ1667158

Jean-Bernard Zuber, Robert Coquereaux

Publication date: 27 August 2018

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02793

zbMATH Keywords

polytopeshoneycombsHorn problemSU(n) Littlewood-Richardson coefficients

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Harmonic analysis on specific compact groups (43A75) Semisimple Lie groups and their representations (22E46)

Related Items (9)

The Horn problem for real symmetric and quaternionic self-dual matrices ⋮ On the minor problem and branching coefficients ⋮ On Horn's problem and its volume function ⋮ Derivative principles for invariant ensembles ⋮ Projections of orbital measures and quantum marginal problems ⋮ Revisiting Horn’s problem ⋮ Box splines, tensor product multiplicities and the volume function ⋮ Harmonic analysis for rank-1 randomised Horn problems ⋮ The Harish-Chandra integral: an introduction with examples

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