Moving frames and differential algebra

Mansfield, Elizabeth L. (2002) Moving frames and differential algebra. In: Guo, Li and Cassidy, Phyllis J. and Keigher, William F. and Sit, William Y., eds. Differential Algebra and Related Topics. World Scientific Press, Singapore, pp. 257-279. ISBN 978-981-02-4703-4. (doi:10.1142/9789812778437_0009) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:23876)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: https://doi.org/10.1142/9789812778437_0009

Abstract

The purpose of this article is to explore the features of differential algebras comprised of differential invariants together with invariant differential operators. A tutorial on moving frames, used to construct complete sets of invariants and invariant differential operators, is followed by a discussion of how these sets can differ in structure from standard differential rings. We conclude with a brief description of a conjectured characteristic set algorithm for invariant over-determined differential systems.

Item Type:	Book section
DOI/Identification number:	10.1142/9789812778437_0009
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Elizabeth Mansfield
Date Deposited:	29 Jun 2011 13:35 UTC
Last Modified:	14 Jun 2023 08:56 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/23876 (The current URI for this page, for reference purposes)

University of Kent Author Information

Mansfield, Elizabeth L..

Creator's ORCID:	https://orcid.org/0000-0002-6778-2241
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