Generalized double affine Hecke algebras of rank 1 and quantized Del Pezzo surfaces

Pavel Etingof, Alexei Oblomkov, Eric Rains

Let D be a simply laced Dynkin diagram of rank r whose affinization has the shape of a star (i.e., D4,E6,E7,E8). To such a diagram one can attach a group G whose generators corresp…