The Stability of Graded Multiplicity in the Setting of the Kostant-Rallis Theorem Academic Article uri icon

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 Birkh√§user Boston.

author list (cited authors)

  • Howe, R., Tan, E., & Willenbring, J. F.

citation count

  • 0

publication date

  • September 2008