Exponential series without denominators

Details Exponential series without denominators Exponential series without denominators

2012-01-24

arxiv.org/abs/1201.5043v1

Mathematics

Rings and Algebras

13 p

Scientific paper

For a commutative algebra which comes from a Zinbiel algebra the exponential series can be written without denominators. When lifted to dendriform algebras this new series satisfies a functional equation analogous to the Baker-Campbell-Hausdorff formula. We make it explicit by showing that the obstruction series is the sum of the brace products. In the multilinear case we show that the role the Eulerian idempotent is played by the iterated pre-Lie product.

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