Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On complete reducibility in characteristic $p$   Let $G$ be a reductive group over a field $k$ which is algebraically closed
of characteristic $p \neq 0$. We prove a structure theorem for a class of
subgroup schemes of $G$, for $p$ bounded below by the Coxeter number of $G$. As
applications, we derive semi-simplicity results, generalizing earlier results
of Serre proven in 1998, and also obtain an analogue of Luna's \'etale slice
theorem for suitable bounds on $p$.

19
The categories of this paper are: eess
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci