Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalences of tame blocks for p-adic linear groups   Let p and $\ell$ be two distinct primes, F a p-adic field and n an integer.
We show that any level 0 block of the category of smooth Z $\ell$-valued
representations of GL n (F) is equivalent to the unipotent block of an
appropriate product of GL n i (F i). To this end, we first show that the level
0 category of GL n (F) is equivalent to a category of " modules " over a
certain Z $\ell$-algebra " with many objects " whose definition only involves n
and the residue field of F. Then we use fine properties of Deligne-Lusztig
cohomology to split this algebra and produce suitable Morita equivalences.

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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: econ