THE STABILITY OF GRADED MULTIPLICITY IN THE SETTING OF THE KOSTANT-RALLIS THEOREM
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abstract
From a combinatorial point of view, we approach the problem of finding a graded generalization of the Kostant-Rallis theorem concerning the K-harmonic polynomials on p. Specifically, for each classical symmetric pair we obtain a stable range where the multiplicity of an irreducible K-representation in the degree d harmonic polynomials can be expressed in terms of Littlewood-Richardson coefficients. 2008 Birkhuser Boston.