Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $p$-filtrations of dual Weyl modules   Let $G$ be a semisimple algebraic group over a field of characteristic $p >
0$. We prove that the dual Weyl modules for $G$ all have $p$-filtrations when
$p$ is not too small. Moreover, we give applications of this theorem to
$p^n$-filtrations for $n > 1$, to modules containing the Steinberg module as a
tensor factor, and to the Donkin conjecture on modules having $p$-filtrations.

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The categories of this paper are: stat
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The categories of this paper are: econ
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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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: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci