Spherical functions on a complex classical quantum group
The Harish-Chandra homomorphism for a quantized classical hermitian symmetric pair
Let a noncompact symmetric space with Iwasawa decomposition . The Harish-Chandra homomorphism is an explicit homomorphism between the algebra of invariant differential operators on and the algebra of polynomials on that are invariant under the Weyl group action of the pair . The main result of this paper is a generalization to the quantum setting of the Harish-Chandra homomorphism in the case of being an hermitian (classical) symmetric space
Page 1