On the basic representation of the double affine Hecke algebra at critical level
arXiv:2412.09397 · doi:10.1142/S0219498824500610
Abstract
We construct the basic representation of the double affine Hecke algebra at critical level associated to an irreducible reduced affine root system with a reduced gradient root system. For of untwisted type such a representation was studied by Oblomkov [O04] and further detailed by Gehles [G06] in the presence of minuscule weights.
7 pages