Relations between elliptic multiple zeta values and a special derivation algebra

Understand

We investigate relations between elliptic multiple zeta values and describe a method to derive the number of indecomposable elements of given weight and length.

• Our method is based on representing elliptic multiple zeta values as iterated integrals over Eisenstein series and exploiting the connection with a special derivation algebra.
• Its commutator relations give rise to constraints on the iterated integrals over Eisenstein series relevant for elliptic multiple zeta values and thereby allow to count the indecomposable representatives.
• Conversely, the above connection suggests apparently new relations in the derivation algebra.