Summary: We describe explicitly the kernels of higher spin twistor operators on standard even dimensional Euclidean space , standard even dimensional sphere , and standard even dimensional hyperbolic space , using realizations of invariant differential operators inside spinor valued differential forms. The kernels are finite dimensional vector spaces (of the same cardinality) generated by spinor valued polynomials on .
@article{701678,
title = {Twistor operators on conformally flat spaces},
booktitle = {Proceedings of the 20th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {2001},
pages = {179-197},
mrnumber = {MR1826691},
zbl = {1056.53034},
url = {http://dml.mathdoc.fr/item/701678}
}
Somberg, Petr. Twistor operators on conformally flat spaces, dans Proceedings of the 20th Winter School "Geometry and Physics", GDML_Books, (2001), pp. 179-197. http://gdmltest.u-ga.fr/item/701678/