Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exceptional Moufang quadrangles and structurable algebras   In 2000, J. Tits and R. Weiss classified all Moufang spherical buildings of
rank two, also known as Moufang polygons. The hardest case in the
classification consists of the Moufang quadrangles. They fall into different
families, each of which can be described by an appropriate algebraic structure.
For the exceptional quadrangles, this description is intricate and involves
many different maps that are defined ad hoc and lack a proper explanation.
  In this paper, we relate these algebraic structures to two other classes of
algebraic structures that had already been studied before, namely to
Freudenthal triple systems and to structurable algebras. We show that these
structures give new insight in the understanding of the corresponding Moufang
quadrangles.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol