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arXiv · hep-th/0610318

Quasi-classical Lie algebras and their contractions

R. Campoamor-Stursberg
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Abstract

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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R. Campoamor-Stursberg. 2006-10-30. Quasi-classical Lie algebras and their contractions. https://doi.org/10.1007/s10773-007-9482-3

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