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Bibliographic Details
Main Authors: Ollivier, François, Kaminski, Yirmeyahu J.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.12103
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Table of Contents:
  • In the framework of diffieties, introduced by Vinogradov, we introduce integrable infinitesimal symmetries and show that they define a one parameter pseudogroup of local diffiety morphisms. We prove some preliminary results allowing to reduce the computation of integrable infinitesimal symmetries of a given order to solving a system of partial differential equations.We provide examples for which we can reduce to a linear system that can be solved by hand computation, and investigate some consequences for the local classification of diffiety, with a special interest for testing if a diffiety is flat.