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Zinbiel algebras and multiple zeta values

Zinbiel algebras and multiple zeta values

We build, using the notion of Zinbiel algebra, some commutative subalgebras C_{u,v} inside an algebra of formal iterated integrals. There is a quotient map from this algebra of formal iterated integrals to the algebra of motivic multiple zeta values. Restricting this quotient map to the subalgebras C_{u,v} gives a morphism …