On ℓ-adic Galois periods, relations between coefficients of Galois representations on fundamental groups of a projective line minus a finite number of points
Résumé
The coefficients of the Drinfeld associator are known to satis
fy
two kind of shuffle relations. The first relations come from the
formula for the
multiplication of iterated integrals. The second ones come
from the multipli-
cation of multi zeta functions. Our aim is to study the analog
ous relations for
the Ihara-Drinfeld element describing the action of the Gal
ois group on the
́etale fundamental group of
P
̄
Q
\{
0
,
1
,
∞}