Title: Formal affine Demazure and Hecke algebras of Kac-Moody root systems,
Abstract: We define the formal affine Demazure algebra and formal affine Hecke algebra
associated to a Kac-Moody root system. We prove the structure theorems of these
algebras, hence, extending several result and construction (presentation in
terms of generators and relations, coproduct and product structures, filtration
by codimension of Bott-Samelson classes, root polynomials and multiplication
formulas) that were previously known for finite root system.