Kirwin, William D. (2013). Isotropic foliations of coadjoint orbits from the Iwasawa decomposition. Geod. Dedic., 166 (1). S. 185 - 203. DORDRECHT: SPRINGER. ISSN 1572-9168
Full text not available from this repository.Abstract
Let G be a noncompact real semisimple Lie group. The set of regular coadjoint orbits of G can be partitioned according to a finite set of types. We show that on each regular orbit, the Iwasawa decomposition induces a left-invariant foliation which is isotropic with respect to the Kirillov symplectic form. Moreover, the leaves are affine subspaces of the dual of the Lie algebra, and the dimension of the leaves depends only on the type of the orbit. When G is a split real form, the foliations induced from the Iwasawa decomposition are actually Lagrangian fibrations with a global transverse Lagrangian section.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-474511 | ||||||||
| DOI: | 10.1007/s10711-012-9791-4 | ||||||||
| Journal or Publication Title: | Geod. Dedic. | ||||||||
| Volume: | 166 | ||||||||
| Number: | 1 | ||||||||
| Page Range: | S. 185 - 203 | ||||||||
| Date: | 2013 | ||||||||
| Publisher: | SPRINGER | ||||||||
| Place of Publication: | DORDRECHT | ||||||||
| ISSN: | 1572-9168 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/47451 |
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