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Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. (English) Zbl 1472.17045

Summary: In this paper, we classify all capable nilpotent Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. Moreover, the explicit structure of such Lie algebras of class 3 is given.

MSC:

17B30 Solvable, nilpotent (super)algebras
17B05 Structure theory for Lie algebras and superalgebras
17B99 Lie algebras and Lie superalgebras
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