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

Abstract

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.

References in corpus (1)

• Equivariant indices of Spin${}^c$-Dirac operators for proper moment maps