Local Integrable Symmetries of Diffieties

François Ollivier; Yirmeyahu J. Kaminski

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arXiv · 2602.12103

Local Integrable Symmetries of Diffieties

François Ollivier·Yirmeyahu J. Kaminski

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Abstract

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.

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BibTeX RIS

François Ollivier, Yirmeyahu J. Kaminski. 2026-02-12. Local Integrable Symmetries of Diffieties. https://arxiv.org/abs/2602.12103

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