Kraehmer, U. and Wagemann, F. (2015) Racks, Leibniz algebras and Yetter--Drinfel'd modules. Georgian Mathematical Journal, 22(4), pp. 529-542. (doi: 10.1515/gmj-2015-0049)
|
Text
112014.pdf - Published Version Available under License Creative Commons Attribution. 580kB |
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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Kraehmer, Dr Ulrich |
| Authors: | Kraehmer, U., and Wagemann, F. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Georgian Mathematical Journal |
| Publisher: | Walter de Gruyter GmbH |
| ISSN: | 1072-947X |
| ISSN (Online): | 1572-9176 |
| Published Online: | 05 November 2015 |
| Copyright Holders: | Copyright © 2015 The Authors |
| First Published: | First published in Georgian Mathematical Journal 22(4):529-542 |
| Publisher Policy: | Reproduced under a Creative Commons License |
| Related URLs: |
University Staff: Request a correction | Enlighten Editors: Update this record
Funder and Project Information
Funder and Project Information