Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Algebras   This is the first paper in a series of eight where in the first three we
develop a systematic approach to the geometric algebras of multivectors and
extensors, followed by five papers where those algebraic concepts are used in a
novel presentation of several topics of the differential geometry of (smooth)
manifolds of arbitrary global topology. A key tool for the development of our
program is the mastering of the euclidean geometrical algebra of multivectors
that is detailed in the present paper.

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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat