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Homotopy theory of Hopf Galois extensions

Quantum Algebra 2010-03-25 v1 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.math/0402034,
  title  = {Homotopy theory of Hopf Galois extensions},
  author = {Christian Kassel and Hans-Juergen Schneider},
  journal= {arXiv preprint arXiv:math/0402034},
  year   = {2010}
}

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28 pages