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arxiv: 1001.0028 · v2 · pith:RVSJAJDXnew · submitted 2009-12-30 · 🧮 math.CO · math.GR

Cyclic sieving for generalised non-crossing partitions associated to complex reflection groups of exceptional type

classification 🧮 math.CO math.GR
keywords complexgroupsreflectionassociatedcyclicexceptionalgeneralisednon-crossing
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We present the proof of the cyclic sieving conjectures for generalised non-crossing partitions associated to well-generated complex reflection groups due to Armstrong, respectively to Bessis and Reiner, for the 26 exceptional well-generated complex reflection groups. The computational details are provided in the manuscript "Cyclic sieving for generalised non-crossing partitions associated to complex reflection groups of exceptional type - the details" [arXiv:1001.0030].

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