Kaehler structures on Kc/(P,P)
| dc.creator | Chuah, Meng-Kiat | |
| dc.date | 1996-08-28 | |
| dc.date | 1996-08-29 | |
| dc.date.accessioned | 2026-07-07T09:02:49Z | |
| dc.date.available | 2026-07-07T09:02:49Z | |
| dc.description | Let K be a compact semi-simple Lie group. We classify K-invariant Kaehler structures on the space Kc/(P,P), where Kc is the complexification of K, P is a parabolic subgroup of Kc, and (P,P) the commutator subgroup. For each Kaehler structure, we study its moment map and associated pre-quantum line bundle for geometric quantization. Some holomorphic sections of the line bundle form a unitary K-representation space, and we study the multiplicity of its irreducible subrepresentations. | |
| dc.description | LaTex 2.09, 30 pages. To appear in Trans. AMS. chuah@math.nctu.edu.tw | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9608008 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9608008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148773 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C55 (Primary) | |
| dc.title | Kaehler structures on Kc/(P,P) | |
| dc.type | text |