BGG sequences on flat homogeneous spaces are analyzed from the point of view of decomposition of appropriate representation spaces on irreducible parts with respect to a maximal compact subgroup, the so called $K$-types. In particular, the kernels and images of all standard invariant differential operators (including the higher spin analogs of the basic twistor operator), i.e. operators appearing in BGG sequences, are described.
@article{119186,
author = {Petr Somberg},
title = {BGG sequences on spheres},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {41},
year = {2000},
pages = {509-527},
zbl = {1037.43016},
mrnumber = {1795082},
language = {en},
url = {http://dml.mathdoc.fr/item/119186}
}
Somberg, Petr. BGG sequences on spheres. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 509-527. http://gdmltest.u-ga.fr/item/119186/
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