This memoir is a refinement of the author's PhD thesis—written at Cornell University (2006).
It is primarily a desription of new research but we have also included a substantial amount of …

Bijections between noncrossing and nonnesting partitions for classical reflection groups Page
1 Portugal. Math. (NS) Portugaliae Mathematica Vol. 67, Fasc. 3, 2010, 369–401 6 European …

arXiv:math/0701792v2 [math.CO] 30 Mar 2009 Page 1 arXiv:math/0701792v2 [math.CO] 30
Mar 2009 CYCLIC SIEVING OF NONCROSSING PARTITIONS FOR COMPLEX REFLECTION …

Let Φ be a finite root system of rank n and let m be a nonnegative integer. The generalized
cluster complex Δ m (Φ) was introduced by S. Fomin and N. Reading. It was conjectured by …

The absolute order is a natural partial order on a Coxeter group W. It can be viewed as an
analogue of the weak order on W in which the role of the generating set of simple reflections …

The absolute order on the hyperoctahedral group B n is investigated. Using a poset fiber
theorem, it is proved that the order ideal of this poset generated by the Coxeter elements is …

The absolute order on the hyperoctahedral group B_n is investigated. It is shown that every
closed interval in this order is shellable, those closed intervals which are lattices are …

Οι οµάδες Coxeter είναι ϑεµελειώδεις συνδυαστικές δοµές οι οποίες εµφανίζονται σε πολλές
περιοχές των µαθηµατικών. Οι µερικές διατάξεις στις οµάδες Coxeter αποτελούν ένα …

The absolute order is a natural partial order on a Coxeter group W. It can be viewed as an
analogue of the weak order on W in which the role of the generating set of simple reflections …