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Homotopy theory of Hopf Galois extensions

Christian Kassel, Hans-Juergen Schneider

math.QAarXiv:math/0402034

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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