Differential forms on quaternionic Kähler manifolds
Gregor Weingart
Universidad Nacional Autónoma de México, Cuernavaca, Mexico
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Abstract
The bundle of differential forms on a hyper-Kähler manifold is a representation of a natural Lie algebra so4,1ℝ of parallel operators. After constructing this algebra from the point of view of representation theory we calculate the minimal parallel decomposition of the bundle of differential forms on hyper-Kähler and quaternionic Kähler manifolds.