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The theory of infinite-dimensional Lie (super)algebras differs markedly from the theory of finite-dimensional Lie (super)algebras in that the latter possesses powerful classification theorems, which usually allow one to "recognize" any finite- dimensional Lie (super)algebra (over the field of complex or real numbers), i.e., find it in some list.
There are classification theorems in the theory of infinite-dimensional Lie (super)algebras as well, but they are encumbered by strong restrictions of a technical character.
These theorems are useful mainly because they yield a considerable supply of interesting examples.
Meher Abdaoui, Doctor in mathematics (differential algebraic geometry) in Faculty of Sciences of Sfax - Tunisia and assistant professor in Shaqra University (Saudi Arabia).
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