[HTML][HTML] EL-shellability and noncrossing partitions associated with well-generated complex reflection groups

H Mühle - European Journal of Combinatorics, 2015 - Elsevier
In this article we prove that the lattice of noncrossing partitions is EL-shellable when
associated with the well-generated complex reflection group of type G (d, d, n), for d, n≥ 3 …

-Indivisible Noncrossing Partitions

H Mühle, P Nadeau, N Williams - arXiv preprint arXiv:1904.05573, 2019 - arxiv.org
For a fixed integer $ k $, we consider the set of noncrossing partitions, where both the block
sizes and the difference between adjacent elements in a block is $1\bmod k $. We show that …

[PDF][PDF] 1 The lattice of non-crossing partitions

C Ceballos - geometrie.tugraz.at
This has been generalized for m-divisible non-crossing partitions and for other Coxeter
groups; see [1] and the references therein, in particular [3, 2, 14]. I propose to generalize this …

[PDF][PDF] Möbius numbers of some modified generalized noncrossing partitions

M Tomie - 2015 - toyama.repo.nii.ac.jp
Möbius numbers of some modified generalized noncrossing partitions Page 1 Toyama Math. J.
Vol. 37(2015), 145-153 Möbius numbers of some modified generalized noncrossing partitions …

M\" obius numbers of some modified generalized noncrossing partitions

M Tomie - arXiv preprint arXiv:0905.1660, 2009 - arxiv.org
In this paper we will give a M\" obius number of $ NC^{k}(W)\setminus\bf {mins}\cup\{\hat
{0}\} $ for a Coxeter group $ W $ which contains an affirmative answer for the conjecture 3.7 …

[PDF][PDF] Combinatorics of Fuß-Catalan Posets Associated with Reflection Groups

H Mühle - 2014 - tu-dresden.de
Perhaps one of the best-studied lattices in combinatorics is the Tamari lattice Tn introduced
by Tamari in [118]. Among other things Tamari considered the set Tn of so-called n …

[PDF][PDF] EL-Shellability of Generalized Noncrossing Partitions

H Mühle - Discrete Mathematics & Theoretical Computer …, 2012 - dmtcs.episciences.org
EL-Shellability of Generalized Noncrossing Partitions Associated to Well-Generated Complex
Reflection Groups Page 1 FPSAC 2012, Nagoya, Japan DMTCS proc. AR, 2012, 527–538 …