Galois extension for a compact quantum group

Details Galois extension for a compact quantum group Galois extension for a compact quantum group

1999-02-04

arxiv.org/abs/math/9902031v1

Mathematics

Quantum Algebra

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

Scientific paper

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.

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