Shellability of noncrossing partition lattices

  • Athanasiadis C
  • Brady T
  • Watt C
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Abstract

We give a case-free proof that the lattice of noncrossing partitions associated to any finite real reflection group is EL-shellable. Shellability of these lattices was open for the groups of type D n and those of exceptional type and rank at least three.

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Athanasiadis, C. A., Brady, T., & Watt, C. (2007). Shellability of noncrossing partition lattices. Proceedings of the American Mathematical Society, 135(04), 939–939. https://doi.org/10.1090/s0002-9939-06-08534-0

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