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- W1796378986 abstract "Let $G$ be a connected, linear semisimple Lie group with Lie algebra $mathfrak g$, and let ${K_{{}_{mathbf C}}}~rightarrow ~{operatorname {Aut} (mathfrak p_{{}_{mathbf C}})}$ be the complexified isotropy representation at the identity coset of the corresponding symmetric space. The Kostant-Sekiguchi correspondence is a bijection between the nilpotent $K_{{}_{mathbf C}}$-orbits in $mathfrak p_{{}_{mathbf C}}$ and the nilpotent $G$-orbits in $mathfrak g$. We show that this correspondence associates each spherical nilpotent $K_{{}_{mathbf C}}$-orbit to a nilpotent $G$-orbit that is multiplicity free as a Hamiltonian $K$-space. The converse also holds." @default.
- W1796378986 created "2016-06-24" @default.
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- W1796378986 date "2002-08-01" @default.
- W1796378986 modified "2023-10-16" @default.
- W1796378986 title "Spherical nilpotent orbits and the Kostant-Sekiguchi correspondence" @default.
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- W1796378986 doi "https://doi.org/10.1090/s0002-9947-02-03089-1" @default.
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