Integrating Hasse-Schmidt derivations

Daniel Hoffmann; Piotr Kowalski

doi:10.1016/j.jpaa.2014.05.024

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arXiv · 1212.5788

Integrating Hasse-Schmidt derivations

Daniel Hoffmann·Piotr Kowalski

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Abstract

We study integrating (that is expanding to a Hasse-Schmidt derivation) derivations, and more generally truncated Hasse-Schmidt derivations, satisfying iterativity conditions given by formal group laws. Our results concern the cases of the additive and the multiplicative group laws. We generalize a theorem of Matsumura about integrating nilpotent derivations (such a generalization is implicit in work of Ziegler) and we also generalize a theorem of Tyc about integrating idempotent derivations.

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Daniel Hoffmann, Piotr Kowalski. 2014-04-30. Integrating Hasse-Schmidt derivations. https://doi.org/10.1016/j.jpaa.2014.05.024

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