Hopf-Galois extensions with central invariants

Details Hopf-Galois extensions with central invariants Hopf-Galois extensions with central invariants

1997-07-16

arxiv.org/abs/q-alg/9707021v2

Mathematics

Quantum Algebra

18 pages, LATEX, revised version

Scientific paper

We study Hopf-Galois extensions with central invariants for a finite dimensional Hopf algebra. We collect general facts about them and discuss some examples arising in the study of restricted Lie algebras and quantum groups at roots of unity. Our focus is on representation theory and its special feature in this situation, restriction of the central character to the subalgebra of invariants.

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