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

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

2006-02-14

arxiv.org/abs/math/0602287v1

Mathematics

Algebraic Geometry

Scientific paper

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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