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A Lie algebra $L$ is said to be of breadth $k$ if the maximal dimension ofthe images of left multiplication by elements of the algebra is $k$. In thispaper we give characterization of finite dimensional nilpotent Lie algebras ofbreadth less than or equal to two. Furthermore, using these characterizationswe determined the isomorphism classes of these algebras.

On nilpotent Lie algebras of small breadth