Derived equivalences for trigonometric double affine Hecke algebras

2022/09/28 by Liu, Wille
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2209.14273

Abstract

The trigonometric double affine Hecke algebra H_c for an irreducible root system depends on a family of complex parameters c Given two families of parameters c and c' which differ by integers, we construct the translation functor from H_c-Mod to H_c'-Mod and prove that it induces equivalence of derived categories. This is a trigonometric counterpart of a theorem of Losev on the derived equivalences for rational Cherednik algebras.

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