Affine Hecke algebra
In mathematics, an affine Hecke algebra is the algebra associated to an affine Weyl group, and can be used to prove Macdonald's constant term conjecture for Macdonald polynomials. == Definition == Let V {\displaystyle V} be a Euclidean space of a finite dimension and Σ {\displaystyle \Sigma } an affine root system on V {\displaystyle V} .