The Harish-Chandra isomorphism for quantum

  • Martina Balagovic

    University of Newcastle, UK
  • David Jordan

    University of Edinburgh, UK


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