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 \Phi to derive a formula for log(\Phi ) in terms of MZV’s (multiple zeta values).
Enriquez, B., Gavarini, F. (2006). A formula for the logarithm of the KZ associator. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS, 2 [10.3842/SIGMA.2006.080].
A formula for the logarithm of the KZ associator
GAVARINI, FABIO
2006-11-13
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 \Phi to derive a formula for log(\Phi ) in terms of MZV’s (multiple zeta values).File in questo prodotto:
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