Kirillov's orbit method: the case of discrete series representations

Paul-Emile Paradan (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

Let V be an Harish-Chandra discrete series representation of a real semi-simple Lie group G’ and let G be a semi-simple subgroup of G’. In this paper, we give a geometric expression of the G-multiplicities in V when the representation V is supposed to be G-admissible.

Mots clés: discrete series representations; branching laws; geometric quantization; symplectic reduced spaces

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

Paul-Emile Paradan. Kirillov's orbit method: the case of discrete series representations. 2017. ⟨hal-01580580⟩