Cyclic Sieving of Noncrossing Partitions for Complex Reflection Groups ∏ Page 1 Ann. Comb.
15 (2011) 197–222 DOI 10.1007/s00026-011-0090-9 Published online May 15, 2011 © Springer …

In type A, the q, t-Fuß–Catalan numbers can be defined as the bigraded Hilbert series of a
module associated to the symmetric group. We generalize this construction to (finite) …

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 …

We discuss properties of root posets for finite crystallographic root systems, and show that
these properties uniquely determine root posets for the noncrystallographic dihedral types …

ABSTRACT We study Fomin–Zelevinsky's mutation rule in the context of non-
crystallographic root systems. In particular, we construct approximately periodic sequences …

First, we investigate a generalization of the area statistic on Dyck paths for all
crystallographic reflection groups. In particular, we explore Dyck paths of type B together …

We present typepreserving bijections between noncrossing and nonnesting partitions for all
classical reflection groups, answering a question of Athanasiadis and Reiner. The bijections …

Reflection groups, geometry of the discriminant and noncrossing partitions. When W is a
well-generated complex reflection group, the noncrossing partition lattice NCP_W of type W …

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 …

Résumé Lorsque W est un groupe de réflexion complexe bien engendré, le treillis ncpW des
partitions non-croisées de type W est un objet combinatoire très riche, généralisant la notion …