Lectures on Hopf Algebras, Quantum Groups and Twists

Details Lectures on Hopf Algebras, Quantum Groups and Twists Lectures on Hopf Algebras, Quantum Groups and Twists

2007-03-02

arxiv.org/abs/hep-th/0703013v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages. Lectures given at the second Modave Summer School in Mathematical Physics, August 6-12, 2006

Scientific paper

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.

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