Racks, Leibniz algebras and Yetter-Drinfel'd modules
Quantum Algebra
2014-03-18 v1
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 by Carter, Crans, Elhamdadi and Saito.
Keywords
Cite
@article{arxiv.1403.4148,
title = {Racks, Leibniz algebras and Yetter-Drinfel'd modules},
author = {Ulrich Kraehmer and Friedrich Wagemann},
journal= {arXiv preprint arXiv:1403.4148},
year = {2014}
}
Comments
20 pages, no figures