The Harish-Chandra isomorphism for quantum GL_2

  title={The Harish-Chandra isomorphism for quantum GL_2},
  author={Martina Balagovic and D. T. Jordan},
  • Martina Balagovic, D. T. Jordan
  • Published 2016
  • Mathematics
  • We construct an explicit Harish-Chandra isomorphism, from the quantum Hamiltonian reduction of the algebra D_q(GL_2) of quantum differential operators on GL_2, to the spherical double affine Hecke algebra associated to GL2. The isomorphism holds for all deformation parameters non-zero q, t, such that t does not equal to +/-i, and q is not a non-trivial root of unity. We also discuss its extension to the root of unity case. 

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