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math.RA2012★ 2 cited
On nonsingular two-step nilpotent Lie algebras
Jorge Lauret, David Oscari
A 2-step nilpotent Lie algebra n is called nonsingular if ad(X): n --> [n,n] is onto for any X not in [n,n]. We explore nonsingular algebras in several directions, including the cl…
math.DG2012
On the existence of nilsolitons on 2-step nilpotent Lie groups
David Oscari
A 2-step nilpotent Lie algebra n is said to be of type (p,q)if dim(n)=p+q and dim([n,n])=p. By considering a class of 2-step nilpotent Lie algebras naturally attached to graphs, we…