Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing zero divisors in the higher dimensional Cayley-Dickson
  algebras   In this paper we give new methods to construct zero divisors in A_n =R^(2^n)
the Cayley_Dickson algebras over the real numbers, for n larger than 4, and we
also relate the set of zero divisors in A_{n+1} with the Stiefel Manifold
V_{2^n -1,2} for n>3. We also introduce the notion of "Spectrum" (of a no zero
double pure element) wich synthesize the information regarding the structure of
the linear operators left and right multiplication by the element. We use this
as a main technical tool to construct the zero divisors.

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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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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: stat