BGG sequences on spheres

Petr Somberg

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 3, page 509-527
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Somberg, 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 -

References

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