Abstract
In this paper, the general contractions of the three-dimensional real Lie algebras are determined. A short summary will be given of the history, definitions, properties, examples, and applications of contractions of Lie algebras. So far, mostly simple or generalized Inönü–Wigner contractions have been used. The three-dimensional real Lie algebras are classified in such a way that their general contractions can be easily read off. All these contractions can be realized by generalized Inönü–Wigner contractions, which supports the argument that these are the interesting objects to study.
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