Pentagon and hexagon equations

Abstract

The author will prove that Drinfel’d’s pentagon equation implies his two hexagon equations in the Lie algebra, pro-unipotent, pro-$l$ and pro-nilpotent contexts.

Authors

Hidekazu Furusho

Graduate School of Mathematics, Nagoya University, Furo-cho, Chikusa-Ku, Nagoya 464-8602, Japan