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math.DG2024
Invariant Spinors on Flag Manifolds
Diego Artacho, Uwe Semmelmann
In this note, we characterise the existence of non-trivial invariant spinors on maximal flag manifolds associated to complex simple Lie algebras. This characterisation is based on…
math.DG2024★ 1 cited
The Geometry of Generalised Spin Spinors on Projective Spaces
Diego Artacho, Jordan Hofmann
In this paper, we adapt the characterisation of the spin representation via exterior forms to the generalised spin context. We find new invariant spin spinors on the projec…
math.DG2024★ 1 cited
Generalised Killing Spinors on Three-Dimensional Lie Groups
Diego Artacho
We present a complete classification of invariant generalised Killing spinors on three-dimensional Lie groups. We show that, in this context, the existence of a non-trivial invaria…