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- W2951694053 abstract "We consider aspects of the relationship between nilpotent orbits in a semisimple real Lie algebra $mathfrak{g}$ and those in its complexification $mathfrak{g}_{mathbb{C}}$. In particular, we prove that two distinct real nilpotent orbits lying in the same complex orbit are incomparable in the closure order. Secondly, we characterize those $mathfrak{g}$ having non-empty intersections with all nilpotent orbits in $mathfrak{g}_{mathbb{C}}$. Finally, for $mathfrak{g}$ quasi-split, we characterize those complex nilpotent orbits containing real ones." @default.
- W2951694053 created "2019-06-27" @default.
- W2951694053 creator A5083049265 @default.
- W2951694053 date "2015-05-28" @default.
- W2951694053 modified "2023-09-27" @default.
- W2951694053 title "Properties of nilpotent orbit complexification" @default.
- W2951694053 hasPublicationYear "2015" @default.
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