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math.CO2017★ 15 cited
Computing reflection length in an affine Coxeter group
Joel Brewster Lewis, Jon McCammond, T. Kyle Petersen +1
In any Coxeter group, the conjugates of elements in its Coxeter generating set are called reflections and the reflection length of an element is its length with respect to this exp…
math.CO2017
Generalized non-crossing Partitions and Buildings
Julia Heller, Petra Schwer
For any finite Coxeter group of rank we show that the order complex of the lattice of non-crossing partitions embeds as a connected chamber subcomplex into…