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@article{faucris.117702244,
abstract = {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.},
author = {Bertram, Wolfgang and Neeb, Karl-Hermann},
doi = {10.1007/s10711-004-4197-6},
faupublication = {no},
journal = {Geometriae Dedicata},
keywords = {Jordan algebra; Jordan pair; Jordan triple; symmetric space; conformal completion; projective completion; Lie group},
pages = {75-115},
peerreviewed = {Yes},
title = {{Projective} {Completions} of {Jordan} {Pairs}, {Part} {II}: {Manifold} {Structures} and {Symmetric} {Spaces}},
volume = {112},
year = {2005}
}