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

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

2009-12-30

arxiv.org/abs/1001.0028v2

Mathematics

Combinatorics

AmS-LaTeX, 34 pages; major revision: more efficient presentation; direct proof that the q-Fusz-Catalan numbers are polynomials

Scientific paper

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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