Kirillov's orbit method: the case of discrete series representations
From MaRDI portal
Publication:2287927
DOI10.1215/00127094-2019-0059zbMath1431.22014arXiv1709.00922OpenAlexW3104027589MaRDI QIDQ2287927
Publication date: 22 January 2020
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.00922
Semisimple Lie groups and their representations (22E46) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Kirillov's formula and Guillemin-Sternberg conjecture
- Formal geometric quantization. II
- Spin-quantization commutes with reduction
- Branching laws for square integrable representations
- Formal geometric quantization
- An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg
- The local structure of characters
- Geometric quantization and multiplicities of group representations
- On a conjecture of Langlands
- Elliptic operators and compact groups
- A proof of Blattner's conjecture
- \(L^2\)-cohomology and the discrete series
- Discrete decomposability of the restriction of \(A_q(\lambda)\) with respect to reductive subgroups. II: Micro-local analysis and asymptotic \(K\)-support
- Symplectic surgery and the Spin\(^c\)-Dirac operator
- Singular reduction and quantization
- Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
- Non-Abelian convexity by symplectic cuts
- Discrete decomposability of the restriction of \(A_{{\mathfrak q}}(\lambda)\) with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties
- Equivariant Dirac operators and differentiable geometric invariant theory
- Admissible coadjoint orbits for compact Lie groups
- Formal geometric quantization. III: Functoriality in the \(\mathrm{spin}^c\) setting
- Geometric quantization for proper moment maps: the Vergne conjecture
- A geometric realisation of tempered representations restricted to maximal compact subgroups
- Convexity properties of the moment mapping. III
- Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series
- Equivariant index of twisted Dirac operators and semi-classical limits
- Lectures in modern analysis and applications. III
- Equivariant indices of \(\operatorname{Spin}^c\)-Dirac operators for proper moment maps
- Spinc-quantization and the K-multiplicities of the discrete series
- The index of elliptic operators over V-manifolds
- Witten Non Abelian Localization for Equivariant K-Theory, and the [𝑄,𝑅=0 Theorem]
- A geometric formula for multiplicities of 𝐾-types of tempered representations
- Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions
- Localization of the Riemann-Roch character
This page was built for publication: Kirillov's orbit method: the case of discrete series representations
