Cyclic sieving for generalised non-crossing partitions associated to complex reflection groups of exceptional type - the details
Combinatorics
2012-02-29 v2 Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1001.0030,
title = {Cyclic sieving for generalised non-crossing partitions associated to complex reflection groups of exceptional type - the details},
author = {Christian Krattenthaler and Thomas W. Müller},
journal= {arXiv preprint arXiv:1001.0030},
year = {2012}
}
Comments
AmS-LaTeX, 157 pages; major revision; direct proof that the q-Fusz-Catalan number is a polynomial with non-negative coefficients added