On Hasse--Schmidt derivations: the action of substitution maps

Abstract

We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse--Schmidt derivations. This structure appears as a counterpart of the module structure on classical derivations.

arXiv comment42 pages; Dedicated to Antonio Campillo on the occasion of his 65th birthday; minor corrections; final version

References in corpus (6)

• Jets via Hasse-Schmidt Derivations
• A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors
• On the modules of m-integrable derivations in non-zero characteristic
• Integrating Hasse-Schmidt derivations
• Hasse--Schmidt derivations, divided powers and differential smoothness
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Cited by in corpus (4)

• Leaps of modules of integrable derivations in the sense of Hasse-Schmidt
• Rings of differential operators as enveloping algebras of Hasse--Schmidt derivations
• On the bracket of integrable derivations
• On the behavior of modules of $m$-integrable derivations in the sense of Hasse-Schmidt under base change