Projective completions of Jordan pairs. II: Manifold structures and symmetric spaces (Q2571712)

The authors continuing their research started in Part I [J. Algebra 277, No. 2, 474--519 (2004; Zbl 1100.17012)], construct symmetric spaces, in arbitrary dimension and over any nondiscrete topological field \(\mathbb{K}\), which give rise to Jordan pairs and triples. They introduce the corresponding manifolds and study the respective geometries. Finally, they give applications and examples of the results in mathematics and physics, showing how one may interpret them as models of quantum mechanics.