%0 Journal Article
%A Campoamor Stursberg, Otto-Rudwig
%T Quasi-classical Lie algebras and their contractions
%D 2008
%@ 0020-7748
%U https://hdl.handle.net/20.500.14352/50620
%X After classifying indecomposable quasi-classical Lie algebras in low dimension, and showing the existence of non-reductive stable quasi-classical Lie algebras, we focus on the problem of obtaining sufficient conditions for a quasi-classical Lie algebras to be the contraction of another quasi-classical algebra. It is illustrated how this allows to recover the Yang-Mills equations of a contraction by a limiting process, and how the contractions of an algebra may generate a parameterized families of Lagrangians for pairwise non-isomorphic Lie algebras.
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