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most citedClassification of abelian complex structures on 6-dimensional Lie algebras

51 citations · 122 across the 18 of their papers we have counts for

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math.DG2024

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 admitting complex or symplectic structures. The matrix $A\in M(2n-1,\mathbb R )…

math.DG2024★ 4 cited

Applications of the quaternionic Jordan form to hypercomplex geometry

Adrián Andrada, María Laura Barberis

We apply the quaternionic Jordan form to classify the hypercomplex nilpotent almost abelian Lie algebras in all dimensions and to carry out the complete classification of 12-dimens…