English

Noncommutative Differential Geometry and Twisting of Quantum Groups

Quantum Algebra 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0006151,
  title  = {Noncommutative Differential Geometry and Twisting of Quantum Groups},
  author = {S. Majid},
  journal= {arXiv preprint arXiv:math/0006151},
  year   = {2007}
}

Comments

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