An “affine” version of the double Hecke algebra.
Wikipedia, Double affine Hecke algebra
I. Cherednik, Double affine Hecke algebras. Knizhnik-Zamolodchikov equations, and Macdonald operators, IMRN (Duke Math. J.) 9 (1992), 171–180 MR1185831 (94b:17040), A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras, Invent. math. 106 (1991), 411–431 MR1128220 (93b:17040)
Construction via factorization homology of quantum group representation categories is in
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