A Basis Construction for the Shi Arrangement of the Type B ℓ or C ℓ
A Basis Construction for the Shi Arrangement of the Type B ℓ or C ℓ
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DOI：
10.1080/00927872.2013.865051
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发表时间：
2012-05
影响因子：
0.7
通讯作者：
D. Suyama
中科院分区：
文献类型：
--
作者：
D. Suyama
The Shi arrangement is an affine arrangement of hyperplanes consisting of the hyperplanes of the Weyl arrangement and their parallel translations. It was introduced by J.-Y. Shi in the study of the Kazhdan–Lusztig representation of the affine Weyl groups. M. Yoshinaga showed that the cone over every Shi arrangement is free. In this paper, we construct an explicit basis for the derivation module of the cone over the Shi arrangements of the type B ℓ or C ℓ.
