Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On tensor categories attached to cells in affine Weyl groups   We prove a conjecture by Lusztig, which describes the tensor categories of
perverse sheaves on affine flag manifolds, with tensor structure provided by
truncated convolution, in terms of the Langlands dual group. We also give a
geometric (categorical) description of Lusztig's bijection between two-sided
cells in an affine Weyl group, and unipotent conjugacy classes in the Langlands
dual group. The main tool is the sheaf-theoretic construction of the center of
the affine Hecke algebra due to Gaitsgory (based on ideas of Beilinson and
Kottwitz), see math.AG/9912074.

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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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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: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex