Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motivic Galois theory for motives of niveau $\leq$ 1   Let T be a Tannakian category over a field k of characteristic 0 and \pi(T)
its fundamental group. In this paper we prove that there is a bijection between
the otimes-equivalence classes of Tannakian subcategories of T and the normal
affine group sub-T-schemes of \pi(T). We apply this result to the Tannakian
category T_1(k) generated by motives of niveau \leq 1 defined over k, whose
fundamental group is called the motivic Galois group G_mot(T_1(k)) of motives
of niveau \leq 1.
  We find four short exact sequences of affine group sub-T_1(k)-schemes of
G_mot(T_1(k)), correlated one to each other by inclusions and projections.
Moreover, given a 1-motive M, we compute explicitly the biggest Tannakian
subcategory of the one generated by M, whose fundamental group is commutative.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph