On Some q-Analogs of a Theorem of Kostant-Rallis

DOI10.4153/CJM-2000-020-0zbMath0951.22009MaRDI QIDQ4493532

Jeb F. Willenbring, Nolan R. Wallach

Publication date: 11 December 2000

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

zbMATH Keywords

irreducible representationsemisimple linear algebraic group\(K\)-harmonic polynomials

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (8)

Polarizations and Nullcone of Representations of Reductive Groups ⋮ A stable range for dimensions of homogeneous \(O(n)\)-invariant polynomials on the \(n\times n\) matrices ⋮ Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles ⋮ On orthogonal and special orthogonal invariants of a single matrix of small order ⋮ The stability of graded multiplicity in the setting of the Kostant-Rallis theorem ⋮ Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials ⋮ Sums of squares of Littlewood–Richardson coefficients and GL n -harmonic polynomials ⋮ An application of the Littlewood restriction formula to the Kostant-Rallis Theorem

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