Abstract
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 = P ⊗D, 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.
This research was partially supported by an NSF grant at Rutgers University.
This paper is dedicated to Prof. Bertram Kostant with affection and admiration on the occasion of his sixty-fifth birthday
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Sahi, S. (1994). The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space. In: Brylinski, JL., Brylinski, R., Guillemin, V., Kac, V. (eds) Lie Theory and Geometry. Progress in Mathematics, vol 123. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0261-5_21
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DOI: https://doi.org/10.1007/978-1-4612-0261-5_21
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