A Formula for the Logarithm of the KZ Associator
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)....
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2006-11-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://www.emis.de/journals/SIGMA/2006/Paper080/ |