Singular BGG sequences for the even orthogonal case

Lukas Krump and Vladimir Soucek

Charles University, Faculty of Mathematics and Physics, Mathematical Institute, Sokolovska 83, 186 75 Praha, Czech Republic


Locally exact complexes of invariant differential operators are constructed on the homogeneous model for a parabolic geometry for the even orthogonal group. The tool used for the construction is the Penrose transform developed by R. Baston and M. Eastwood. Complexes constructed here belong to the singular infinitesimal character.