A Hopf algebra having a separable Galois extension is finite dimensional

Details A Hopf algebra having a separable Galois extension is finite dimensional A Hopf algebra having a separable Galois extension is finite dimensional

2006-12-20

arxiv.org/abs/math/0612613v2

Mathematics

Symplectic Geometry

Some typos corrected. Minor grammatical changes. A new result and reference added

Scientific paper

It is shown that a Hopf algebra over a field admitting a Galois extension
separable over its subalgebra of coinvariants is of finite dimension. This
answers in the affirmative a question posed by Beattie et al. in [{\it Proc.
Amer. Math. Soc.} 128 No. 11 (2000), 3201-3203].

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