3 papers
math.DG2025
The algebraic square of an irreducible complex spinor
Alejandro Gil-García, C. S. Shahbazi
We characterize, in every dimension and signature, the algebraic squares of an irreducible complex spinor as a pair of exterior forms satisfying a prescribed system of algebraic re…
math.DG2025
Quaternionic Kähler manifolds fibered by solvsolitons
Vicente Cortés, Alejandro Gil-García, Markus Röser
This paper is concerned with the geometry of principal orbits in quaternionic Kähler manifolds of cohomogeneity one. We focus on the complete cohomogeneity one examples obtaine…
math.DG2024
Born Lie algebras
Alejandro Gil-García, Paula Naomi Pilatus
We show that every Born Lie algebra can be obtained by the bicross product construction starting from two pseudo-Riemannian Lie algebras. We then obtain a classification of all Lie…