The Harish-Chandra isomorphism for quantum
Martina Balagovic
University of Newcastle, UKDavid Jordan
University of Edinburgh, UK
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Abstract
We construct an explicit Harish-Chandra isomorphism, from the quantum Hamiltonian reduction of the algebra of quantum differential operators on , to the spherical double affine Hecke algebra associated to . The isomorphism holds for all deformation parameters and , such that is not a non-trivial root of unity.
Cite this article
Martina Balagovic, David Jordan, The Harish-Chandra isomorphism for quantum . J. Noncommut. Geom. 12 (2018), no. 3, pp. 1161–1197
DOI 10.4171/JNCG/300