Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Centralizer of the elementary subgroup of an isotropic reductive group   Let G be an isotropic reductive algebraic group over a commutative ring R.
Assume that, for any maximal ideal M of R, the rank of the relative root system
of G_{R_M} is greater or equal than 2. We show that under this assumption the
centralizer of E(R) in G(R) coincides with the abstract group-theoretic center
of G(R) and with Cent(G)(R). This generalizes a result of E. Abe and J. Hurley.

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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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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: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th