The Harish-Chandra isomorphism for quantum GL_2

Martina Balagovic, David Jordan

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)1161–1197
Number of pages32
JournalJournal of Noncommutative Geometry
Issue number3
Early online date30 Oct 2018
Publication statusPublished - 30 Oct 2018


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