Homotopy theory of Hopf Galois extensions

Christian Kassel[1]; Hans-Jürgen Schneider[2]

  • [1] Université Louis Pasteur, Institut de Recherche Mathématique Avancée, CNRS, 7 rue René Descartes, 67084 Strasbourg (France)
  • [2] Universität München, Mathematisches Institut, Theresienstr. 39, 80333 Munich (Allemagne)

Annales de l'institut Fourier (2005)

  • Volume: 55, Issue: 7, page 2521-2550
  • ISSN: 0373-0956

Abstract

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We introduce the concept of homotopy equivalence for Hopf Galois extensions and make a systematic study of it. As an application we determine all H -Galois extensions up to homotopy equivalence in the case when H is a Drinfeld-Jimbo quantum group.

How to cite

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Kassel, Christian, and Schneider, Hans-Jürgen. "Homotopy theory of Hopf Galois extensions." Annales de l'institut Fourier 55.7 (2005): 2521-2550. <http://eudml.org/doc/116262>.

@article{Kassel2005,
abstract = {We introduce the concept of homotopy equivalence for Hopf Galois extensions and make a systematic study of it. As an application we determine all $H$-Galois extensions up to homotopy equivalence in the case when $H$ is a Drinfeld-Jimbo quantum group.},
affiliation = {Université Louis Pasteur, Institut de Recherche Mathématique Avancée, CNRS, 7 rue René Descartes, 67084 Strasbourg (France); Universität München, Mathematisches Institut, Theresienstr. 39, 80333 Munich (Allemagne)},
author = {Kassel, Christian, Schneider, Hans-Jürgen},
journal = {Annales de l'institut Fourier},
keywords = {Galois extension; Hopf algebra; quantum group; homotopy; noncommutative geometry; principal fibre bundle; Hopf-Galois extensions; homotopy equivalences; Hopf algebras; quantum groups},
language = {eng},
number = {7},
pages = {2521-2550},
publisher = {Association des Annales de l'Institut Fourier},
title = {Homotopy theory of Hopf Galois extensions},
url = {http://eudml.org/doc/116262},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Kassel, Christian
AU - Schneider, Hans-Jürgen
TI - Homotopy theory of Hopf Galois extensions
JO - Annales de l'institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 7
SP - 2521
EP - 2550
AB - We introduce the concept of homotopy equivalence for Hopf Galois extensions and make a systematic study of it. As an application we determine all $H$-Galois extensions up to homotopy equivalence in the case when $H$ is a Drinfeld-Jimbo quantum group.
LA - eng
KW - Galois extension; Hopf algebra; quantum group; homotopy; noncommutative geometry; principal fibre bundle; Hopf-Galois extensions; homotopy equivalences; Hopf algebras; quantum groups
UR - http://eudml.org/doc/116262
ER -

References

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