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)....

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Datum:2006
Hauptverfasser: Enriquez, B., Gavarini, F.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2006
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/146087
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:A formula for the logarithm of the KZ associator / B. Enriquez, F. Gavarini // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 4 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine