English

Galois extension for a compact quantum group

Quantum Algebra 2007-05-23 v1

Abstract

The aim of this paper is to introduce and to investigate the analogues of torsors for compact quantum groups and to study their role in representation theory. Let A be a unitarizable Hopf *-algebra: we show that there is a category equivalence between *-fibre functors on unitary A-comodules and A-*-Galois extension endowed with a positive Haar measure.

Keywords

Cite

@article{arxiv.math/9902031,
  title  = {Galois extension for a compact quantum group},
  author = {Julien Bichon},
  journal= {arXiv preprint arXiv:math/9902031},
  year   = {2007}
}

Comments

28 pages, Latex. English translation of the 1997 french preprint