The dihedral Lie algebras and Galois symmetries of π_1^l(P^1 - 0, infinity and N-th roots of unity)

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dc.creatorGoncharov, A. B.
dc.date2000-09-12
dc.date.accessioned2026-07-07T04:37:21Z
dc.date.available2026-07-07T04:37:21Z
dc.descriptionWe study the action of the Galois group on the pro-l-completion of the fundamental group of P^1 - {0, infinity and N-th roots of unity}. We describe the Lie algebra of the image of the Galois action and relate with the geometry of the modular varieties for GL_m for m = 1,2,3,... This story is the l-adic side of the motivic theory of multiple polylogarithms at roots of unity, which generalize the classical cyclotomy theory.
dc.description80 pages, extended version of the paper appeared in 1998 in K-theory archive
dc.identifierhttps://arxiv.org/abs/math/0009121
dc.identifierhttp://arxiv.org/abs/math/0009121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59922
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject11G65 11R32 11T22
dc.titleThe dihedral Lie algebras and Galois symmetries of π_1^l(P^1 - 0, infinity and N-th roots of unity)
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