Double shuffle relation for associators

• 成果类型: Article
• 署名作者: Furusho, Hidekazu
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2011.174.1.9
• 发表日期: 2011
• 页码: 341-360
• 关键词: multiple; derivation; Algebra

摘要

It is proved that Drinfelid's pentagon equation implies the generalized double shuffle relation. As a corollary, an embedding from the Grothen-dieck-Teichmuller group GRT(1) into Racinet's double shuffle group DMR0 is obtained, which settles the project of Deligne-Terasoma. It is also proved that the gamma factorization formula follows from the generalized double shuffle relation.