Classification of embeddings of abelian extensions of $D_n$ into $E_{n+1}$

Andrew Douglas, Delaram Kahrobaei, Joe Repka

An abelian extension of the special orthogonal Lie algebra $D_n$ is a nonsemisimple Lie algebra $D_n \inplus V$, where $V$ is a finite-dimensional representation of $D_n$, with the…