Cyclic sieving for generalised non-crossing partitions associated to complex reflection groups of exceptional type
Combinatorics
2013-10-07 v2 Group Theory
Abstract
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].
Keywords
Cite
@article{arxiv.1001.0028,
title = {Cyclic sieving for generalised non-crossing partitions associated to complex reflection groups of exceptional type},
author = {Christian Krattenthaler and Thomas W. Müller},
journal= {arXiv preprint arXiv:1001.0028},
year = {2013}
}
Comments
AmS-LaTeX, 34 pages; major revision: more efficient presentation; direct proof that the q-Fusz-Catalan numbers are polynomials with non-negative coefficients added