Geometry of Central Extensions of Nilpotent Lie Algebras
Geometry of Central Extensions of Nilpotent Lie Algebras
We obtain a recurrent and monotone method for constructing and classifying nilpotent Lie algebras by means of successive central extensions. The method consists in calculating the second cohomology $$H^{2}(\mathfrak{g}, \mathbb{K})$$ of an extendable nilpotent Lie algebra $$\mathfrak{g}$$ followed by studying the geometry of the orbit space of the action of …