Symmetry, Integrability and Geometry: Methods and Applications (Nov 2006)

A Formula for the Logarithm of the KZ Associator

  • Benjamin Enriquez,
  • Fabio Gavarini

Journal volume & issue
Vol. 2
p. 080

Abstract

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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 Φ to derive a formula for log(Φ) in terms of MZV's (multiple zeta values).

Keywords