Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series

Abstract

In this paper we show that the multiplicities of holomorphic discrete series representations relatively to reductive subgroups satisfy the credo "Quantization commutes with reduction".

40 pages

References in corpus (1)

• Symplectic and Hamiltonian properties of holomorphic coadjoint orbits

Cited by in corpus (1)

• Geometric quantization and families of inner products