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Discrete Mathematics & Theoretical Computer Science |
Henri Mühle - EL-Shellability of Generalized Noncrossing Partitions
dmtcs:3060 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) - https://doi.org/10.46298/dmtcs.3060EL-Shellability of Generalized Noncrossing PartitionsConference paper
- 1 Fakultät für Mathematik [Wien]
[en]
In this article we prove that the poset of m-divisible noncrossing partitions is EL-shellable for every well-generated 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.
[fr]
Dans cet article nous prouvons que l'ensemble ordonnè des partitions non-croisées m-divisibles est EL-èpluchable (``EL-shellable'') pour tout groupe de réflexions complexe bien engendrè. 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.
Source: HAL:hal-01283107v1
Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [en] m-divisible Noncrossing Partitions, Generalized Noncrossing Partitions, Well-Generated Complex Reflection Groups, EL-Shellability
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