The Penrose transform is discussed for the Dirac equation corresponding to an orthogonal group in even dimensions. The authors outline a simple approach to the calculation which involves using the Dolbeault realization of cohomology groups rather than hypercohomology and spectral sequence. The details will be given elsewhere.
@article{701517,
title = {The Penrose transform for Dirac equation},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1993},
pages = {[183]-193},
mrnumber = {MR1246632},
zbl = {0788.53071},
url = {http://dml.mathdoc.fr/item/701517}
}
Bureš, J.; Souček, V. The Penrose transform for Dirac equation, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1993), pp. [183]-193. http://gdmltest.u-ga.fr/item/701517/