Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reductivity properties over an affine base   When the base ring is not a field, power reductivity of a group scheme is a
basic notion, intimately tied with finite generation of subrings of invariants.
  Geometric reductivity is weaker and less pertinent in this context. We give a
survey of these properties and their connections.

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The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
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The categories of this paper are: stat