Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral analysis and representations]{Spectral analysis near regular
  point of reducibility and representations of Coxeter groups   For a tuple of square matrices $A_1,...,A_n$ the determinantal hypersurface
is defined as \begin{eqnarray*} &\sigma(A_1,...,A_n)= \\ &\Big\{[x_1:\cdots
:x_n]\in \C{\mathbb P}^{n-1}: det(x_1A_1+\cdots +x_nA_n)=0\Big \}.
\end{eqnarray*} In this paper we develop a local spectral analysis near a
regular point of reducibility of a determinantal hypersurface. We prove a
rigidity type theorem for representations of Coxeter groups as an application

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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
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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: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: alg-geom