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Lectures on Hopf Algebras, Quantum Groups and Twists

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arxiv hep-th/0703013 v1 pith:B4VETJ6J submitted 2007-03-02 hep-th

Lectures on Hopf Algebras, Quantum Groups and Twists

classification hep-th
keywords algebraquantumexampleshopfalgebrasgeometrygroupgroups
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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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