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arXiv · 1709.09847

Dual pairs of algebras and finite commutative group schemes

Peter Bruin
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Abstract

We introduce a category of dual pairs of finite locally free algebras over a ring. This gives an efficient way to represent finite locally free commutative group schemes. We give a number of algorithms to compute with dual pairs of algebras, and we apply our results to Galois representations on finite Abelian groups.

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Peter Bruin. 2017-09-28. Dual pairs of algebras and finite commutative group schemes. https://arxiv.org/abs/1709.09847

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