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A Construction of a Differential Graded Lie Algebra in the Category of Effective Homological Motives

Kaj Gartz
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Abstract

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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BibTeXRIS

Kaj Gartz. 2006-02-14. A Construction of a Differential Graded Lie Algebra in the Category of Effective Homological Motives. https://arxiv.org/abs/math/0602287

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