Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphisms of free braided associative algebras in two variables   We describe the groups of automorphisms of two generated free braided
associative algebras with involutive diagonal braidings over a field of
characteristic $\neq 2$. Depending on the form of the diagonal involutive
braiding, five different automorphism groups arise as automorphism groups of
two generated free braided associative algebras. This list covers all three
automorphism groups that arise in the case of quantum planes \cite{AC}.

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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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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: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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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: patt-sol