Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Bruhat order on clans   We give an explicit description of the closure containment order (or "Bruhat
order") on the set of orbits of GL_p \times GL_q on the flag variety
GL_{p+q}/B, relative to the parametrization of the orbits by combinatorial
objects called "clans". This leads to a corresponding description of the
closures of such orbits as sets of flags satisfying certain incidence
conditions encoded by the parametrizing clans.

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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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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: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an