On the stable derivation algebra associated with some braid groups

DOI10.1007/BF02808157zbMath0782.20034MaRDI QIDQ1802778

Yasutaka Ihara

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

graded Lie algebralower central series\(\ell\)-adic Galois representationsGrothendieck-Teichmüller groupsgraded derivation algebrapro-\(\ell\) fundamental groupspure sphere braid group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Integral representations (11S23) Braid groups; Artin groups (20F36) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70)

Related Items (9)

The Betti side of the double shuffle theory. I. The harmonic coproducts. ⋮ On ranks of the stable derivation algebra and Deligne's problem ⋮ On the combinatorial cuspidalization of hyperbolic curves ⋮ The stable derivation algebras for higher genera ⋮ Fundamental groups of moduli and the Grothendieck-Teichmüller group ⋮ The cycle complex over \(\mathbb{P}^1\) minus 3 points: toward multiple zeta value cycles ⋮ Superstring amplitudes and the associator ⋮ Coaction and double-copy properties of configuration-space integrals at genus zero ⋮ Braid monodromies on proper curves and pro-ℓ Galois representations

Cites Work

• Pro-\(l\) pure braid groups of Riemann surfaces and Galois representations
• On the holonomy Lie algebra and the nilpotent completion of the fundamental group of the complement of hypersurfaces
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