On the Structure of Lie Pseudo-Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• ISSN: 1815-0659
• Main Authors: Olver, P.J., Pohjanpelto, J., Valiquette, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149122
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Structure of Lie Pseudo-Groups / P.J. Olver, J. Pohjanpelto, F. Valiquette // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 25 назв. — англ.

We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors. We argue that the latter approach offers certain advantages from both a theoretical and practical standpoint.