Homotopy theory of Hopf Galois extensions

Details Homotopy theory of Hopf Galois extensions Homotopy theory of Hopf Galois extensions

2004-02-03

arxiv.org/abs/math/0402034v1

Ann. Inst. Fourier (Grenoble) 55 (2005), 2521-2550

Mathematics

Quantum Algebra

28 pages

Scientific paper

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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