Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• ISSN: 1815-0659
• Main Author: Rock, Peter
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212121
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Computation of Infinitesimals for a Group Action on a Multispace of One Independent Variable. Peter Rock. SIGMA 20 (2024), 002, 18 pages

This paper expands upon the work of Peter Olver's paper [Appl. Algebra Engrg. Comm. Comput. 11 (2001), 417-436], wherein Olver uses a moving frames approach to examine the action of a group on a curve within a generalization of jet space known as multispace. Here, we seek to further study group...