Journal of Lie Theory

no. 3
Elliptic Coadjoint Orbits of Holomorphic Type
Journal of Lie Theory, Volume 33 (2023) no. 3, pp. 713-718
This article proves that any elliptic coadjoint orbit of a semisimple Lie group carries a holomorphic bundle structure over a flag variety if the polarization is given by a θ-stable parabolic subalgebra of holomorphic type. An application to the Penrose transform is given.
DOI: 10.5802/jolt.1302
Classification: 32M15, 53C65, 53C35, 17B20
Keywords: Reductive Lie groups, coadjoint orbits, Borel embedding, Harish-Chandra decomposition, indefinite Kaehler manifold 
@article{JOLT_2023_33_3_a1,
     author = {H. Sekiguchi},
     title = {Elliptic {Coadjoint} {Orbits} of {Holomorphic} {Type}},
     journal = {Journal of Lie Theory},
     pages = {713--718},
     year = {2023},
     volume = {33},
     number = {3},
     doi = {10.5802/jolt.1302},
     zbl = {1522.32053},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1302/}
}
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H. Sekiguchi. Elliptic Coadjoint Orbits of Holomorphic Type. Journal of Lie Theory, Volume 33 (2023) no. 3, pp. 713-718. doi: 10.5802/jolt.1302

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