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arXiv · 1810.08075

Hasse--Schmidt derivations versus classical derivations

L. Narváez-Macarro
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Abstract

In this paper we survey the notion and basic results on multivariate Hasse--Schmidt derivations over arbitrary commutative algebras and we associate to such an object a family of classical derivations. We study the behavior of these derivations under the action of substitution maps and we prove that, in characteristic $0$, the original multivariate Hasse--Schmidt derivation can be recovered from the associated family of classical derivations. Our constructions generalize a previous one by M. Mirzavaziri in the case of a base field of characteristic $0$.

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L. Narváez-Macarro. 2018-10-17. Hasse--Schmidt derivations versus classical derivations. https://doi.org/10.1090/conm%2F742%2F14943

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