On the formal affine Hecke algebra
arXiv:1301.7497 · doi:10.1017/S1474748014000188
Abstract
We study the action of the formal affine Hecke algebra on the formal group algebra, and show that the the formal affine Hecke algebra has a basis indexed by the Weyl group as a module over the formal group algebra. We also define a concept called the normal formal group law, which we use to simplify the relations of the generators of the formal affine Demazure algebra and the formal affine Hecke algebra.
v2: This is an essentially extended version from the previous one. Note the title and abstract are changed. v3: The proof of the main theorem is clarified and section 5,6 are simplified