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

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

2009-12-30

arxiv.org/abs/1001.0030v2

Mathematics

Combinatorics

AmS-LaTeX, 157 pages; major revision; direct proof that the q-Fusz-Catalan number is a polynomial with non-negative coefficien

Scientific paper

We prove that the generalised non-crossing partitions associated to well-generated complex reflection groups of exceptional type obey two different cyclic sieving phenomena, as conjectured by Armstrong, respectively by Bessis and Reiner. This manuscript accompanies the paper "Cyclic sieving for generalised non-crossing partitions associated to complex reflection groups of exceptional type" [arXiv:1001.0028], for which it provides the computational details.

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