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  1. Home > Articles & Issues >
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  3. EL-Shellability of G ...
Conference paper

EL-Shellability of Generalized Noncrossing Partitions

Henri Mühle (1)
(1) Fakultät für Mathematik [Wien]
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Imported on
January 31, 2017
Published on
December 31, 2011
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Proceedings
DOI
10.46298/dmtcs.3060
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https://about.hal.science/hal-authorisation-v1
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EL-Shellability of Generalized Noncrossing Partitions

Henri Mühle (1)
(1) Fakultät für Mathematik [Wien]
Abstract
English
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.
French
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.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • m-divisible Noncrossing Partitions
  • Generalized Noncrossing Partitions
  • Well-Generated Complex Reflection Groups
  • EL-Shellability
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