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.

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

References in corpus (1)

• Rings of differential operators as enveloping algebras of Hasse--Schmidt derivations

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