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arXiv · 2412.09397

On the basic representation of the double affine Hecke algebra at critical level

J. F. van Diejen·E. Emsiz·I. N. Zurrián
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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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J. F. van Diejen, E. Emsiz, I. N. Zurrián. 2024-12-12. On the basic representation of the double affine Hecke algebra at critical level. https://doi.org/10.1142/s0219498824500610

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