Une neutralisation explicite de l'alg\`ebre de Weyl quantique compl\'et\'ee

TL;DR

This paper demonstrates the existence of explicit neutralizations for certain completions of the quantum Weyl algebra at a primitive p-th root of unity, advancing understanding of its algebraic structure.

Contribution

It provides explicit neutralizations for completions of the quantum Weyl algebra at roots of unity, a novel algebraic construction.

Findings

Existence of neutralizations for completions of the quantum Weyl algebra.

Applicable at primitive roots of unity of prime order p.

Enhances algebraic understanding of quantum Weyl algebra structures.

Abstract

We show the existence of neutralizations of various completions of the quantic Weyl algebra specialized in a primitive unit root of prime order p.