Coxeter groups are fundamental algebraic structures defined by generators corresponding to reflections and relations encoded in a Coxeter matrix. They provide a rich framework for understanding ...

Complex reflection groups, generalisations of classical real reflection groups, constitute a rich class of groups generated by linear transformations that fix hyperplanes in complex space. Their ...

Consider the set S n of all rearrangments of the numbers 1,2,3,...,n. We may represent each rearrangement in S n by diagrams like the ones below, where we use oriented strings to indicate where each ...