Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Involutive solutions of the Yang-Baxter-like matrix equation -- theory
  and algorithms   We find all explicit involutive solutions $X \in \mathbb C^{n \times n}$ of
the Yang-Baxter-like matrix equation $AXA=XAX$, where $A \in \mathbb C^{n
\times n}$ is a given involutory matrix. The construction is algorithmic.

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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci