vix.ing · top · new · best · stats · spec

Galois extension for a compact quantum group

1999/02/04 by Julien Bichon, Bichon, Julien · 1 citation
Mathematics · #16W30 #46L89 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:16W30 #msc:46L89

paper · pdf · doi:10.48550/arxiv.math/9902031

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

arxiv created 1999/02/04 · openalex publication_date 1999/02/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

Cited by

Related