Deformations of Coxeter hyperplane arrangements and their characteristic polynomials

Deformations of Coxeter hyperplane arrangements and their characteristic polynomials
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Coxeter超平面排列的变形及其特征多项式

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发表时间:
2000
期刊:
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通讯作者:
Christos A. Athanasiadis
Christos A. Athanasiadis
中科院分区:
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文献类型:
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作者:
Christos A. Athanasiadis

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设A是Coxeter超平面排列,即不可约有限Coxeter群的反射超平面的排列。A的变形是仿射排列,其每个超平面平行于A的某个超平面。我们调查了一些有趣的组合类的安排,反映在他们的特征多项式。
Let A be a Coxeter hyperplane arrangement, that is the arrangement of reflecting hyperplanes of an irreducible finite Coxeter group. A deformation of A is an affine arrangement each of whose hyperplanes is parallel to some hyperplane of A. We survey some of the interesting combinatorics of classes of such arrangements, reflected in their characteristic polynomials.