Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some remarks regarding Quaternions and Octonions   In this paper, we present some applications of quaternions and octonions. We
present the real matrix representations for complex octonions and some of their
properties which can be used in computations where these elements are involved.
Moreover, we give a set of invertible elements in split quaternion algebras and
in split octonion algebras.

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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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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: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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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: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th