Multiplicities of the discrete series

Paul-Emile Paradan (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

The purpose of this paper is to show that the multiplicities of a discrete series representation relatively to a compact subgroup can be ``computed'' geometrically, in the way predicted by the ``qantization commutes with reduction'' principle of Guillemin-Sternberg.

Domaines: Théorie des représentations [math.RT]; Géométrie symplectique [math.SG]

Paul-Emile Paradan. Multiplicities of the discrete series. 2008. ⟨hal-00341993⟩