Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• ISSN: 1815-0659
• Main Author: Morozov, O.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209354
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches / O.I. Morozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 46 назв. — англ.

In this review article, we discuss four recent methods for computing Maurer-Cartan structure equations of symmetry groups of differential equations. Examples include the solution of the contact equivalence problem for linear hyperbolic equations and finding a contact transformation between the gener...