A new 'symmetry algebra' extending the Killing vector algebra by the gauge algebra on spin-G manifolds is constructed and shown to act on sections of associated bundles, and homogeneous spin-H structures are classified by conjugacy classes of isotropy lifts.
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Notes on generalised spin structures
A new 'symmetry algebra' extending the Killing vector algebra by the gauge algebra on spin-G manifolds is constructed and shown to act on sections of associated bundles, and homogeneous spin-H structures are classified by conjugacy classes of isotropy lifts.