The study of these operators is an important part of the theory of parabolic geometries.
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Recently, these resolutions were studied in special cases, because of their connections to invariant differential operators in a special type of Cartan geometry, the parabolic geometries.
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Essentially the same construction has been applied to ( normal, pseudo-Riemannian ) conformal connections and, more recently, to general ( regular ) parabolic geometries.
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El Caj�n is a double arch dam, which uses parabolic geometry in horizontal and vertical axises to spread the weight of the impounded water to canyon walls which act as buttresses.
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All linear invariant differential operators on homogeneous parabolic geometries, i . e . when " G " is semi-simple and " H " is a parabolic subgroup, are given dually by homomorphisms of generalized Verma modules.
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