Lectures on Hopf Algebras, Quantum Groups and Twists
High Energy Physics - Theory
2007-05-23 v1
Abstract
Lead by examples we introduce the notions of Hopf algebra and quantum group. We study their geometry and in particular their Lie algebra (of left invariant vectorfields). The examples of the quantum sl(2) Lie algebra and of the quantum (twisted) Poincare Lie algebra iso_\theta(3,1) are presented.
Keywords
Cite
@article{arxiv.hep-th/0703013,
title = {Lectures on Hopf Algebras, Quantum Groups and Twists},
author = {Paolo Aschieri},
journal= {arXiv preprint arXiv:hep-th/0703013},
year = {2007}
}
Comments
20 pages. Lectures given at the second Modave Summer School in Mathematical Physics, August 6-12, 2006