Holonomy representations which are a diagonal direct sum of two faithful representations

Thomas Krantz (1, 2)

1 IECN - Institut Élie Cartan de Nancy
2 URMUL - Unité de Recherche en Mathématiques

We study holonomy representations admitting a pair of supplementary faithful sub-representations. In particular the cases where the sub-representations are isomorphic respectively dual to each other are treated. In each case we have a closer look at the classification in small dimension.

Mots clés: holonomy; representation; connection; pseudo-Riemannian geometry

Domaines: Théorie des représentations [math.RT]

Thomas Krantz. Holonomy representations which are a diagonal direct sum of two faithful representations. 2007. ⟨hal-00142749v4⟩