Artin Groups and Yokonuma–Hecke Algebras
Artin Groups and Yokonuma–Hecke Algebras
We attach to every Coxeter system |$(W,S)$|, an extension |$\mathcal{C}_W$| of the corresponding Iwahori–Hecke algebra. We construct a 1-parameter family of (generically surjective) morphisms from the group algebra of the corresponding Artin group onto |$\mathcal{C}_W$|. When |$W$| is finite, we prove that this algebra is a free module of finite …