Edited sentence: Another main inspiration for Cherednik to consider the double affine Hecke algebra was the quantum KZ equations.Ivan Cherednik introduced generalizations of affine Hecke algebras, the so-called double affine Hecke algebra (usually referred to as DAHA).Using this he was able to give a prove of Macdonald's constant term conjecture for Macdonald polynomials (building on work of Eric Opdam)