 93201 J. F. Cari~nena, M.A. del Olmo, P. Wintenitz
 On the Relation between Weak and Strong Invariance of Differential Equations
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Jul 20, 93

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Abstract. Some concepts of Lie algebra cohomology are used to systematize the
search for
differential equations invariant under a given Lie group $G$. In particular
it is shown that if a \lq\lq strongly invariant'' equation exists, then all
\lq\lq weakly invariant'' equations differ from it only by an arbitrary
multiplicative
factor. If no \lq\lq strongly invariant'' equation exists, then cohomology
theory can be used to
simplify the search for \lq\lq weakly invariant'' equations.
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