A geometric approach to the stabilisation of certain sequences of Kronecker coefficients

DOI10.1007/s00229-018-1021-4zbMath1446.20069arXiv1606.05475OpenAlexW2964316529WikidataQ130039806 ScholiaQ130039806MaRDI QIDQ1755532

Maxime Pelletier

Publication date: 10 January 2019

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05475

zbMATH Keywords

geometric invariant theoryKronecker coefficientsstability properties

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (3)

Production of faces of the Kronecker cone containing stable triples ⋮ The Heisenberg product seen as a branching problem for connected reductive groups, stability properties ⋮ Some unexpected properties of Littlewood-Richardson coefficients

Cites Work

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• Geometric invariant theory and generalized eigenvalue problem. II
• The stability of the Kronecker product of Schur functions
• \(\mathrm{FI}_{\mathcal W}\)-modules and stability criteria for representations of classical Weyl groups.
• On the asymptotics of Kronecker coefficients.
• Descent of line bundles to GIT quotients of flag varieties by maximal torus
• Geometric quantization and multiplicities of group representations
• Stability of Kronecker products of irreducible characters of the symmetric group
• Stable properties of plethysm: On two conjectures of Foulkes
• The GIT-equivalence for \(G\)-line bundles
• The quantization conjecture revisited
• Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
• Schur-Weyl reciprocity for Ariki-Koike algebras
• Combinatorial optimization. Polyhedra and efficiency (3 volumes)
• Dimension of zero weight space: an algebro-geometric approach
• Stability properties of the plethysm: a combinatorial approach
• Symmetry, Representations, and Invariants
• Proof of Stembridge's conjecture on stability of Kronecker coefficients

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