Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bases for the derivation modules of two-dimensional multi-Coxeter
  arrangements and universal derivations   Let $\A$ be an irreducible Coxeter arrangement and $\bfk$ be a multiplicity
of $\A$. We study the derivation module $D(\A, \bfk)$. Any two-dimensional
irreducible Coxeter arrangement with even number of lines is decomposed into
two orbits under the action of the Coxeter group. In this paper, we will
{explicitly} construct a basis for $D(\A, \bfk)$ assuming $\bfk$ is constant on
each orbit. Consequently we will determine the exponents of $(\A, \bfk)$ under
this assumption. For this purpose we develop a theory of universal derivations
and introduce a map to deal with our exceptional cases.

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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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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: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: astro-ph