A Formula for the Logarithm of the KZ Associator
Abstract
We prove that the logarithm of a group-like element in a free algebra coincides with its image by a certain linear map. We use this result and the formula of Le and Murakami for the Knizhnik-Zamolodchikov (KZ) associator to derive a formula for () in terms of MZV's (multiple zeta values).
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