Projective completions of Jordan pairs Part II. Manifold structures and symmetric spaces
| dc.creator | Bertram, Wolfgang | |
| dc.creator | Neeb, Karl-Hermann | |
| dc.date | 2004-01-19 | |
| dc.date.accessioned | 2026-07-07T05:04:40Z | |
| dc.date.available | 2026-07-07T05:04:40Z | |
| dc.description | We define symmetric spaces in arbitrary dimension and over arbitrary non-discrete topological fields $\K$, and we construct manifolds and symmetric spaces associated to topological continuous quasi-inverse Jordan pairs and -triple systems. This class of spaces, called smooth generalized projective geometries, generalizes the well-known (finite or infinite-dimensional) bounded symmetric domains as well as their ``compact-like'' duals. An interpretation of such geometries as models of Quantum Mechanics is proposed, and particular attention is paid to geometries that might be considered as "standard models" -- they are associated to associative continuous inverse algebras and to Jordan algebras of hermitian elements in such an algebra. | |
| dc.identifier | https://arxiv.org/abs/math/0401236 | |
| dc.identifier | http://arxiv.org/abs/math/0401236 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69893 | |
| dc.subject | Group Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | 17C36, 46H70, 17C65, 17C30, 17C90 | |
| dc.title | Projective completions of Jordan pairs Part II. Manifold structures and symmetric spaces | |
| dc.type | text |