EL-Shellability of Generalized Noncrossing Partitions Associated to Well-Generated Complex Reflection Groups
نویسنده
چکیده
In this article we prove that the poset of m-divisible noncrossing partitions is EL-shellable for every wellgenerated complex reflection group. This was an open problem for type G(d, d, n) and for the exceptional types, for which a proof is given case-by-case. Résumé. Dans cet article nous prouvons que l’ensemble ordonné des partitions non-croisées m-divisibles est ELépluchable (“EL-shellable”) pour tout groupe de réflexions complexe bien engendré. Il s’agissait d’un problème ouvert pour le type G(d, d, n) et pour les types exceptionnels, pour lesquels nous donnons une preuve au cas par cas.
منابع مشابه
Shellability of Noncrossing Partition Lattices
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