The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space

  • Siddhartha Sahi
Part of the Progress in Mathematics book series (PM, volume 123)


Let G/K be an irreducible Hermitian symmetric space of rank n and let g = t + p + + p be the usual decomposition of g = Lie(G). Let us write P, D, and W = PD, respectively, for the algebra of holomorphic polynomials, the algebra of constant coefficient holomorphic differential operators, and the “Weyl algebra” of polynomial coefficient holomorphic differential operators on p, and regard all three as K-modules in the usual way.


Symmetric Space Symmetric Polynomial High Weight Vector Tube Type Hermitian Symmetric Space 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Siddhartha Sahi
    • 1
  1. 1.Mathematics DepartmentRutgers UniversityNew BrunswickCanada

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