... this paper is a construction of (distinguished) curved analogues of all operators occurring in (generalized) BGG{resolutions. Moreover, we prove that in several situations the resulting sequences are complexes which compute the same cohomology as certain twisted de Rham complexes. We also remark that our approach provides a completely independent construction of resolutions in the at case. An earlier more expository and detailed version of this paper is available electronically, [8], and some further developments and striking applications of curved BGG sequences have been achieved already, [4].
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Čap et al. (2001) studied this question.