Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Crystal Bases and Enright's Completions   We investigate the interplay of crystal bases and completions in the sense of
Enright on certain nonintegrable representations of quantum groups. We define
completions of crystal bases, show that this notion of completion is compatible
with Enright's completion of modules, prove that every module in our category
has a crystal basis which can be completed and that a completion of the crystal
lattice is unique. Furthermore, we give two constructions of the completion of
a crystal lattice.

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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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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: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex