ON THE RELATION BETWEEN WEAK AND STRONG INVARIANCE OF DIFFERENTIAL-EQUATIONS

Authors
CARINENA JF DELOLMO MA WINTERNITZ P
Citation
Jf. Carinena et al., ON THE RELATION BETWEEN WEAK AND STRONG INVARIANCE OF DIFFERENTIAL-EQUATIONS, letters in mathematical physics, 29(2), 1993, pp. 151-163
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
29
Issue
2
Year of publication
1993
Pages
151 - 163
Database
ISI
SICI code
0377-9017(1993)29:2<151:OTRBWA>2.0.ZU;2-B
Abstract
Some concepts of Lie algebra cohomology are used to systematize the se arch for differential equations invariant under a given Lie group G. I n particular, it is shown that if a 'strongly invariant' equation exis ts, then all 'weakly invariant' equations differ from it only by an ar bitrary multiplicative factor. If no 'strongly invariant' equation exi sts, then cohomology theory can be used to simplify the search for 'we akly invariant' equations.