Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structural properties of acyclic heaps of pieces with Kazhdan--Lusztig
  theory   We introduce the notions of boundary vertex, linear equivalence and effective
boundary vertex in the context of Viennot's heaps of pieces. We prove that in
the heap of a fully commutative element in a star reducible Coxeter group,
every boundary vertex is linearly equivalent to an effective boundary vertex.
Using this result, we establish Property W (in the sense of math.QA/0509363)
for star reducible Coxeter groups; this corrects a mistake in the latter paper.

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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas