A Lie algebra L is called 2-step nilpotent if L is not abelian and [L, L] lies in the
center of L. 2-step nilpotent Lie algebras are useful in the study of some geometric problems,
and their classification has been an important problem in Lie theory. In this paper, we give
a classification of 2-step nilpotent Lie algebras of dimension 9 with 2-dimensional center.

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• CLASSIFICATION OF 2-STEP NILPOTENT LIE ALGEBRAS OF DIMENSION 9 WITH 2-DIMENSIONAL CENTER