The Harish-Chandra isomorphism for quantum GL_2
Representation Theory
2019-10-15 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.1603.09218,
title = {The Harish-Chandra isomorphism for quantum GL_2},
author = {Martina Balagovic and David Jordan},
journal= {arXiv preprint arXiv:1603.09218},
year = {2019}
}