Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on non-reduced reflection factorizations of Coxeter elements   We extend a result of Lewis and Reiner from finite Coxeter groups to all
Coxeter groups by showing that two reflection factorizations of a Coxeter
element lie in the same Hurwitz orbit if and only if they share the same
multiset of conjugacy classes.

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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: hep-ex