Abstract
Let G be a compact connected Lie group, g its Lie algebra, and g* the vector space dual of g. G acts on g by its adjoint action and on g* by the dual coadjoint action. The orbits of this action are compact simply-connected submanifolds of g*, and from now on we will refer to them simply as “coadjoint orbits.”
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© 1994 Springer Science+Business Media New York
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Guillemin, V. (1994). Basic Definitions and Examples. In: Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces. Progress in Mathematics, vol 122. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0269-1_2
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DOI: https://doi.org/10.1007/978-1-4612-0269-1_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6687-7
Online ISBN: 978-1-4612-0269-1
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