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Orbits of coadjoint representations of classical compact Lie groups have a lot of applications.
Borel A. Sur la Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groups de Lie Compacts , Ann. Math. 57
1953
Earlier work this paper cites.
Borel A. Kählerian Coset Spaces of Semisimple Lie Groups , Proceedings of the National Academy of Sciences of the United States of America 40
1954
Earlier work this paper cites.
Borel A., Weyl A. Representations Lineares et Espaces Homogenes Kählerians des Groupes de Lie Compacts , Seminaire Bourbaki, May 1954
1954
Earlier work this paper cites.
Helgason S., Differential Geometry, Lie Groups and Symmetric Spaces , Academic Press, Toronto, 1978
1978
Cited alongside, same era.
Bott R. The Geometry and Representation Theory of Compact Lie Groups , In: Representation Theory of Lie Groups, London Mathematical Society Lecture Note Series, Cambridge Univ. Press, 34
1979
Cited alongside, same era.
Alekseevsky D. V., Perelomov A. M. Invariant Kähler-Einstein Metrics on Compact Hologenious Spaces , Functional Anal. Appl. 20
1986
Cited alongside, same era.
Besse A. L. Einstein Manifolds , Springer-Verlag, 1987
1987
Later among the works it cites.
Picken R. F. The Duistermaat-Heckman Integration Formula on Flag Manifolds , J. Math. Phys., 31
1990
Later among the works it cites.
Skrypnyk T., Coadjoint Orbits of Compact Lie Groups and Generalized Stereographic Projection , Ukr. Math. J. 51
1999
Later among the works it cites.
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