On the basic representation of the double affine Hecke algebra at critical level
Abstract
We construct the basic representation of the double affine Hecke algebra at critical level q=1 associated to an irreducible reduced affine root system R with a reduced gradient root system. For R of untwisted type such a representation was studied by Oblomkov [O04] and further detailed by Gehles [G06] in the presence of minuscule weights.
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