Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Construction of a Differential Graded Lie Algebra in the Category of
  Effective Homological Motives   This text gives a construction of a differential graded Lie algebra in Nori's
category of effective homological motives. In fact the construction works in
more a general setting than that of an Abelian category. This allows us to give
the rational homotopy Lie algebra of a 1-connected space a motivic structure.
As a consequence the rational homotopy Lie algebra inherits a mixed Hodge
structure and Galois module structure.

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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom