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Representation of General Invariants for Approximate Transformation Groups

✍ Scribed by Rafail K Gazizov

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 278 KB
Volume: 213
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5525

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✦ Synopsis

Invariants of approximate transformation groups are studied. It turns out that the infinitesimal criterion for them is similar to that of Lie's theory. Namely, the problem of invariants of approximate groups reduces to solving first-order partial differential equations with a small parameter. The problems of solvability, number of independent invariants, and a representation of general approximate invariants are discussed.

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