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. © Springer Japan 2013.
CITATION STYLE
Loday, J. L. (2013). Exponential series without denominators. In Springer Proceedings in Mathematics and Statistics (Vol. 36, pp. 95–107). Springer New York LLC. https://doi.org/10.1007/978-4-431-54270-4_7
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