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

DOI10.4171/JEMS/523zbMath1355.53074arXiv1201.5451OpenAlexW2145092035MaRDI QIDQ2344503

Paul-Emile Paradan

Publication date: 15 May 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5451

zbMATH Keywords

reductionmoment mapgeometric quantizationholomorphic discrete series

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Semisimple Lie groups and their representations (22E46) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (8)

Formal geometric quantisation for proper actions ⋮ HORN PROBLEM FOR QUASI-HERMITIAN LIE GROUPS ⋮ A generalization of Duflo's conjecture ⋮ Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs ⋮ Kirillov's orbit method: the case of discrete series representations ⋮ Geometric quantization and families of inner products ⋮ Quantisation of presymplectic manifolds, $K$-theory and group representations ⋮ Annihilator varieties of distinguished modules of reductive Lie algebras

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