Equivariant deformation quantization for the cotangent bundle of a flag manifold

DOI10.5802/AIF.1905zbMath1010.53067arXivmath/0010258OpenAlexW49923787MaRDI QIDQ1613965

Ranee Kathryn Brylinski

Publication date: 3 September 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010258

zbMATH Keywords

flag manifoldunitary representationdeformation quantizationPoisson bracket

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Deformation quantization, star products (53D55) Geometric quantization (53D50)

Cites Work

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• Closures of conjugacy classes of matrices are normal
• Conformally equivariant quantization: existence and uniqueness
• Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
• Non-local equivariant star product on the minimal nilpotent orbit
• Projectively equivariant symbol calculus
• Unitarizability of certain series of representations
• Nilpotent Orbits, Normality, and Hamiltonian Group Actions
• Nonlocality of equivariant star products on \(T^*(\mathbb{R}\mathbb{P}^n)\)

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