Racks, Leibniz algebras and Yetter–Drinfel'd modules
Racks, Leibniz algebras and Yetter–Drinfel'd modules
Abstract A Hopf algebra object in Loday and Pirashvili's category of linear maps entails an ordinary Hopf algebra and a Yetter–Drinfel'd module. We equip the latter with a structure of a braided Leibniz algebra. This provides a unified framework for examples of racks in the category of coalgebras discussed recently …