Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: R-equivalence and A^1-connectedness in anisotropic groups   We show that if G is an anisotropic, semisimple, absolutely almost simple,
simply connected group over a field k, then two elements of G over any field
extension of k are R-equivalent if and only if they are A^1-equivalent. As a
consequence, we see that Sing_*(G) cannot be A^1-local for such groups. This
implies that the A^1-connected components of a semisimple, absolutely almost
simple, simply connected group over a field k form a sheaf of abelian groups.

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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
16
The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg