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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
Almost abelian pseudo-Kähler Lie algebras
Diego Conti, Alejandro Gil-García
We study invariant pseudo-Kähler structures on a solvmanifold such that the Lie algebra is almost abelian, that is ,…
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…