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 ...
Coxeter theory investigates groups generated by reflections and the geometric structures arising from their actions, such as root systems and Dynkin diagrams. This body of work underpins vast areas of ...
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