BGG sequences on spheres
Commentationes Mathematicae Universitatis Carolinae (2000)
- Volume: 41, Issue: 3, page 509-527
- ISSN: 0010-2628
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topSomberg, Petr. "BGG sequences on spheres." Commentationes Mathematicae Universitatis Carolinae 41.3 (2000): 509-527. <http://eudml.org/doc/248580>.
@article{Somberg2000,
abstract = {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.},
author = {Somberg, Petr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {BGG sequences; invariant differential operators; branching rules; $K$-types; complexes; homogeneous spaces; BGG sequences; invariant differential operators; branching rules; -types; complexes; homogeneous spaces},
language = {eng},
number = {3},
pages = {509-527},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {BGG sequences on spheres},
url = {http://eudml.org/doc/248580},
volume = {41},
year = {2000},
}
TY - JOUR
AU - Somberg, Petr
TI - BGG sequences on spheres
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 3
SP - 509
EP - 527
AB - 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.
LA - eng
KW - BGG sequences; invariant differential operators; branching rules; $K$-types; complexes; homogeneous spaces; BGG sequences; invariant differential operators; branching rules; -types; complexes; homogeneous spaces
UR - http://eudml.org/doc/248580
ER -
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