Symmetric spaces of the non-compact type: Lie groups

Paul-Emile Paradan (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

In these notes, we give first a brief account to the theory of Lie groups. Then we consider the case of a smooth manifold with a Lie group of symmetries. When the Lie group acts transitively (e.g. the manifold is homogeneous), we study the (affine) invariant connections on it. We end up with the particuler case of homogeneous spaces which are the symmetric spaces of the non-compact type.

Domaines: Théorie des représentations [math.RT]

Paul-Emile Paradan. Symmetric spaces of the non-compact type: Lie groups. Séminaires et congrès, 2009, Géométries à courbure négative ou nulle, groupes discrets et rigidités (18), pp.39-76. ⟨hal-00773255⟩