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On the root symmetry of higher Lie characters
Archiv der Mathematik, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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DIFFERENTIAL EQUATIONS AND LIE SYMMETRIES
Waves and Stability in Continuous Media, 2008F. Oliveri +2 more
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On the Lie Symmetry Groups for Classical Fields
Canadian Journal of Physics, 1974The symmetry Lie groups associated with isolated fields are derived from an analogy with the corresponding problem for particle dynamics. These symmetry groups may contain point to point transformations which depend on the values assumed by the field function at the point which is being transformed.
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Lie-point symmetries in bifurcation problems
1992The authors develop a theory of bifurcations of differential equations with Lie point symmetries. Viewing the differential equation as an ``algebraic equation'' on some jet bundle is the key of the analysis. The authors show how the well-known results of equivariant bifurcation theory can be formulated in this context and how the results carry over ...
CICOGNA, GIAMPAOLO, Gaeta G.
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Groups, Lie Algebras, Symmetries in Physics
2018The first problems in this chapter deal with basic properties of groups and of group representations. Fundamental results following from Schur lemma are introduced since the beginning in the case of finite groups, with simple applications of character theory, in the study of vibrational levels of symmetric systems. Other problems concern the notion and
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