On certain families of naturally graded Lie algebras (Q1602658)

The authors specify large families of naturally graded Lie algebras of arbitrary dimension and characteristic sequence \((n,q,1)\) with \(n\equiv 1\pmod 2\) satisfying the centralizer property. They show by considering certain cohomological classes of the space \(H^2(L,\mathbb{C})\) that, with few exceptions, the isomorphism classes of these algebras are given by central extensions of \(Q_n\) by \(\mathbb{C}^n\) that preserve the nil index and the natural graduation.