The Saturation Property for Branching Rules—Examples

DOI10.1080/10586458.2013.813746zbMath1280.22017arXiv1209.3589OpenAlexW2004899390MaRDI QIDQ2861789

Nicolas Ressayre, Boris Pasquier

Publication date: 11 November 2013

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3589

zbMATH Keywords

reductive groupbranching ruletensor product decompositionsaturation property

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)

Related Items (6)

Extremal rays of the embedded subgroup saturation cone ⋮ A survey of the additive eigenvalue problem (with Appendix by M. Kapovich) ⋮ On a conjecture of Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux ⋮ A note on branching of \(V( \rho )\) ⋮ On the Saturation Conjecture for Spin(2n) ⋮ On the tensor semigroup of affine Kac-Moody lie algebras

Uses Software

• SageMath

Cites Work

• Geometric invariant theory and generalized eigenvalue problem. II
• Symmetric quivers, invariant theory, and saturation theorems for the classical groups.
• A path model for geodesics in Euclidean buildings and its applications to representation theory
• Spherical homogeneous spaces of minimal rank
• Stable bundles, representation theory and Hermitian operators
• Branching Schubert calculus and the Belkale-Kumar product on cohomology
• 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
• Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients
• Two generalizations of the PRV conjecture

This page was built for publication: The Saturation Property for Branching Rules—Examples