11 citations · 44 across the 22 of their papers we have counts for
Showing 2024 · math.DGShow all
3 papers · 2 filters
math.DG2024
Hypercomplex structures on special linear groups
Adrián Andrada, Agustín Garrone, Alejandro Tolcachier
The purpose of this article is twofold. First, we prove that the -dimensional Lie group does not admit a left-invariant hypercomplex structure.…
math.DG2024★ 1 cited
Construction of symplectic solvmanifolds satisfying the hard-Lefschetz condition
Adrián Andrada, Agustín Garrone
A compact symplectic manifold is said to satisfy the hard-Lefschetz condition if it is possible to develop an analogue of Hodge theory for . This loosely means tha…
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…