Noncommutative Differential Geometry and Twisting of Quantum Groups

Details Noncommutative Differential Geometry and Twisting of Quantum Groups Noncommutative Differential Geometry and Twisting of Quantum Groups

2000-06-20

arxiv.org/abs/math/0006151v1

Mathematics

Quantum Algebra

10 pages, to appear Proc. LMS Symposium Quantum Groups, Durham, 1999. This intro for mathematicians

Scientific paper

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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