例外型复反射群广义非交叉划分的循环筛分
组合数学
2013-10-07 v2 群论
摘要
我们给出了与良好生成的例外型复反射群相关的广义非交叉划分的循环筛分猜想的证明，这些猜想分别由Armstrong以及Bessis和Reiner提出，针对26个例外型良好生成的复反射群。计算细节见手稿《例外型复反射群广义非交叉划分的循环筛分——细节》[arXiv:1001.0030]。
引用
@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}
}
备注
AmS-LaTeX, 34 pages; major revision: more efficient presentation; direct proof that the q-Fusz-Catalan numbers are polynomials with non-negative coefficients added