EL-Shellability of Generalized Noncrossing Partitions Associated to Well-Generated Complex Reflection Groups

Details EL-Shellability of Generalized Noncrossing Partitions Associated to Well-Generated Complex Reflection Groups EL-Shellability of Generalized Noncrossing Partitions Associated to Well-Generated Complex Reflection Groups

2011-11-30

arxiv.org/abs/1111.7172v3

Mathematics

Combinatorics

22 pages, 2 figures, 1 table

Scientific paper

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.

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