paper

Galois extension for a compact quantum group

arXiv:math/9902031

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.

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

Galois extension for a compact quantum group · wovepaper