Annales Inst. Fourier 55 (2005), 2521-2550

Christian Kassel

Homotopy theory of Hopf Galois extensions

Mathematics Subject Classification (2000): 16W30, 17B37, 55R10, 58B34, 81R50, 81R60

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.

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(12 décembre 2006)