The Shi arrangements and the Bernoulli polynomials
Combinatorics
2015-07-21 v3 Representation Theory
Abstract
The braid arrangement is the Coxeter arrangement of the type . The Shi arrangement is an affine arrangement of hyperplanes consisting of the hyperplanes of the braid arrangement and their parallel translations. In this paper, we give an explicit basis construction for the derivation module of the cone over the Shi arrangement. The essential ingredient of our recipe is the Bernoulli polynomials.
Keywords
Cite
@article{arxiv.1103.3214,
title = {The Shi arrangements and the Bernoulli polynomials},
author = {Daisuke Suyama and Hiroaki Terao},
journal= {arXiv preprint arXiv:1103.3214},
year = {2015}
}
Comments
We fixed a typo