R.J.Baston initiated various techniques in the study of invariant differential operators, fitting into the scheme now usually called parabolic invariant theory (parabolic geometry). e shall discuss the relation among various double sequences for quaternionic geometry coming from correspondence spaces of generalized Penrose transform, and the uniform appearance (reproduction) of the generalized Penrose transform, and the uniform appearance (reproduction) of the same singular non-standard invariant differential operators inside suitable spectral sequences associated to B-G-G resolutions of parabolic geometries for many different (various) correspondences. We shall also discuss quaternionic geometries behind A-series studied by Baston, e.g. low-dimensional examples for B,C,D-series.
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