Orbits of triples in the Shilov boundary of a bounded symmetric domain

Jean-Louis Clerc (1) , Karl-Hermann Neeb (2)

1 IECN - Institut Élie Cartan de Nancy
2 FACHBEREICH MATHEMATIK - Fachbereich mathematik

Let $\cal D$ be a bounded symmetric domain of tube-type, $S$ its Shilov boundary, and $G$ the neutral compnent of its group of biholomorphic transforms. We classify the orbits of $G$ in $S\times S\times S$.

Mots clés: bounded symmetric domain; tube type domain; Shilov boundary; face; Maslov index; flag manifold; Jordan triple sytem

Domaines: Théorie des représentations [math.RT]; Géométrie différentielle [math.DG]

Jean-Louis Clerc, Karl-Hermann Neeb. Orbits of triples in the Shilov boundary of a bounded symmetric domain. Transformation Groups, 2006, 11, pp.387--426. ⟨10.1007/s00031-005-1117-2⟩. ⟨hal-00095890⟩