Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak generalized lifting property, Bruhat intervals and Coxeter matroids   We provide a weaker version of the generalized lifting property which holds
in complete generality for all finite Coxeter groups, and we use it to show
that every parabolic Bruhat interval of a finite Coxeter group is a Coxeter
matroid. We also describe some combinatorial properties of the associated
polytopes.

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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc