English

Quantum Principal Bundles as Hopf-Galois Extensions

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

It is shown that every quantum principal bundle with a compact structure group is a Hopf-Galois extension. This property naturally extends to the level of general differential structures, so that every differential calculus over a quantum principal bundle with a compact structure group is a graded-differential variant of the Hopf-Galois extension.

Keywords

Cite

@article{arxiv.q-alg/9507022,
  title  = {Quantum Principal Bundles as Hopf-Galois Extensions},
  author = {Mico Durdevic},
  journal= {arXiv preprint arXiv:q-alg/9507022},
  year   = {2008}
}

Comments

7 pages, AMS-LaTeX