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Journal of Lie Theory 14 (2004), No. 2, 339--370
Copyright Heldermann Verlag 2004

Classification of Spherical Nilpotent Orbits in Complex Symmetric Space

Donald R. King
Dept. of Mathematics, Northeastern University, 567 Lake Hall, Boston MA 02115, U.S.A.,


Let $G$ be the adjoint group of the simple real Lie algebra $\g$, and let $K_{{}_{\bf C}}~\rightarrow~{{\rm Aut}({\frak p}_{{}_{\bf C}})}$ be the complexified isotropy representation at the identity coset of the corresponding symmetric space. We classify the spherical nilpotent $K_{{}_{\bf C}}$ orbits in ${\frak p}_{{}_{\bf C}}$.

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