The Shi arrangements and the Bernoulli polynomials
The Shi arrangements and the Bernoulli polynomials
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DOI：
10.1112/blms/bdr118
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发表时间：
2011-03
影响因子：
0.9
通讯作者：
D. Suyama;H. Terao
中科院分区：
文献类型：
--
作者：
D. Suyama;H. Terao
编织排列是A型ℓ的Coxeter排列。SHI排列是由辫子排列的超平面及其平行平移组成的超平面的仿射排列。本文给出了SHI排列上锥的导子模的一个显式基构造。我们配方的基本成分是伯努利多项式。
The braid arrangement is the Coxeter arrangement of the type Aℓ. 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.