Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On domino insertion and Kazhdan--Lusztig cells in type $B_n$   Based on empirical evidence obtained using the {\sf CHEVIE} computer algebra
system, we present a series of conjectures concerning the combinatorial
description of the Kazhdan--Lusztig cells for type $B_n$ with unequal
parameters. These conjectures form a far-reaching extension of the results of
Bonnaf\'e and Iancu obtained earlier in the so-called ``asymptotic case''. We
give some partial results in support of our conjectures.

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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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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: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an