The pentagon equation and the confluence relations

2018/09/04 by Furusho, Hidekazu · 1 citation
#11M32 #FOS: Mathematics #Number Theory (math.NT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1809.00789

Abstract

We show an equivalence of Drinfeld's pentagon equation and Hirose-Sato's confluence relations. As a corollary, we obtain a pentagon-free presentation of the Grothendieck-Teichmüller group GRT₁ and associators.

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