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).
13-nov-2006
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/02 - ALGEBRA
English
Con Impact Factor ISI
free Lie algebras; Campbell–Baker–Hausdorff series, Knizhnik–Zamolodchikov associator
http://www.emis.de/journals/SIGMA/2006/Paper080/
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].
Enriquez, B; Gavarini, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/18103
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