Some results of the Capability of nilpotent Lie algebras with one-dimensional center

Let L be a nilpotent Lie algebra with one-dimensional center, and let L be a reduced direct product of two subalgebras I۱ and I۲. In the present talk, at first, wegive some necessary conditions for the capability of L. As a result, we determine the structure of capable nilpotent Lie algebras with one-dimensional center.

کلیدواژه ها:

Nilpotent Lie algebras ، Capability.