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The Harish-Chandra homomorphism for a quantized classical hermitian symmetric pair

Welleda Baldoni;  Pierluigi Möseneder Frajria — 1999

Annales de l'institut Fourier

Let G / K a noncompact symmetric space with Iwasawa decomposition K A N . The Harish-Chandra homomorphism is an explicit homomorphism between the algebra of invariant differential operators on G / K and the algebra of polynomials on A that are invariant under the Weyl group action of the pair ( G , A ) . The main result of this paper is a generalization to the quantum setting of the Harish-Chandra homomorphism in the case of G / K being an hermitian (classical) symmetric space

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