Classification of almost abelian Lie groups admitting left-invariant complex or symplectic structures

Romina M. Arroyo, María L. Barberis, Verónica S. Diaz +2

We classify the almost abelian Lie algebras ${\mathfrak{g}}_A=\mathbb{R}{e}_0{⋉}_A{\mathbb{R}}^{2n-1}$ admitting complex or symplectic structures. The matrix $A\in M(2n-1,\mathbb R )…