Isotypic multiharmonic polynomials and Gelbart-Helgason reciprocity

DOI10.2140/pjm.2020.306.519OpenAlexW3042288021MaRDI QIDQ785738

Anthony C. Kable

Publication date: 10 August 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2020.306.519

zbMATH Keywords

orthogonal grouprepresentationgeneral linear groupbranching lawcobranching law

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Cites Work

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• On the Segal-Shale-Weil representations and harmonic polynomials
• A duality for symmetric spaces with applications to group representations
• Invariants and fundamental functions
• A Strong Generalization of Helgason's Theorem
• Finite Dimensional Induction and New Results on Invariants for Classical Groups, I
• Harmonic analysis of the de Rham complex on the sphere.
• Remarks on Classical Invariant Theory
• A Theory of Stiefel Harmonics
• Lie Group Representations on Polynomial Rings

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