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Noncommutative Differential Geometry and Twisting of Quantum Groups

S. Majid
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Abstract

We outline the recent classification of differential structures for all main classes of quantum groups. We also outline the algebraic notion of `quantum manifold' and `quantum Riemannian manifold' based on quantum group principal bundles, a formulation that works over general unital algebras.

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S. Majid. 2000-06-20. Noncommutative Differential Geometry and Twisting of Quantum Groups. https://arxiv.org/abs/math/0006151

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