Quasi-classical Lie algebras and their contractions

Details Quasi-classical Lie algebras and their contractions Quasi-classical Lie algebras and their contractions

2006-10-30

arxiv.org/abs/hep-th/0610318v1

Int.J.Theor.Phys.47:583-598,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 2 Tables

Scientific paper

10.1007/s10773-007-9482-3

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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