An application of the Littlewood restriction formula to the Kostant-Rallis Theorem

DOI10.1090/S0002-9947-02-03065-9zbMath1016.22008OpenAlexW1864504445MaRDI QIDQ3151236

Jeb F. Willenbring

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03065-9

zbMATH Keywords

linear algebraic groupspolynomial functionsLittlewood restriction formulaKostant-Rallis theorem

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representation theory for linear algebraic groups (20G05) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (2)

Stable Hilbert series of \(\mathcal S(\mathfrak g)^{K}\) for classical groups ⋮ The stability of graded multiplicity in the setting of the Kostant-Rallis theorem

Cites Work

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• Characters of the nullcone
• On Some q-Analogs of a Theorem of Kostant-Rallis
• Lie Group Representations on Polynomial Rings
• Hilbert series, Howe duality, and branching rules
• Orbits and Representations Associated with Symmetric Spaces
• On invariant theory under restricted groups

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