Geodesic
Zinbiel algebras and multiple zeta values
Documenta mathematica, Tome 27 (2022), pp. 519-533.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 of graded commutative algebras with the same graded dimension. This is conjectured to be generically an isomorphism. When $u+v = 0$, the image is instead a subalgebra of the algebra of motivic multiple zeta values.
Classification : 17A50, 11M32, 68R15
Keywords: Zinbiel algebra, shuffle algebra, multiple zeta values 
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     author = {Chapoton, Fr\'ed\'eric},
     title = {Zinbiel algebras and multiple zeta values},
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Chapoton, Frédéric. Zinbiel algebras and multiple zeta values. Documenta mathematica, Tome 27 (2022), pp. 519-533. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a55/