Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coxeter and crystallographic arrangements are inductively free   Using the classification of finite Weyl groupoids we prove that
crystallographic arrangements, a large subclass of the class of simplicial
arrangements which was recently defined, are hereditarily inductively free. In
particular, all crystallographic reflection arrangements are hereditarily
inductively free, among them the arrangement of type $E_8$. With little extra
work we prove that also all Coxeter arrangements are inductively free.

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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int