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• W2890678767 abstract "The purpose of this paper is to apply deformation quantization to the study of the coadjoint orbit method in the case of real reductive groups. We first prove some general results on the existence of equivariant deformation quantization of vector bundles on closed Lagrangian subvarieties, which lie in smooth symplectic varieties with Hamiltonian group actions. Then we apply them to orbit method and construct nontrivial irreducible Harish-Chandra modules for certain coadjoint orbits. Our examples include new geometric construction of representations associated to certain orbits of real exceptional Lie groups." @default.
• W2890678767 created "2018-09-27" @default.
• W2890678767 creator A5046795722 @default.
• W2890678767 creator A5063107489 @default.
• W2890678767 date "2018-09-24" @default.
• W2890678767 modified "2023-09-23" @default.
• W2890678767 title "Equivariant deformation quantization and coadjoint orbit method" @default.
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• W2890678767 doi "https://doi.org/10.48550/arxiv.1809.09082" @default.
• W2890678767 hasPublicationYear "2018" @default.
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