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- W4301388540 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.
- W4301388540 created "2022-10-05" @default.
- W4301388540 creator A5083049265 @default.
- W4301388540 date "2015-05-28" @default.
- W4301388540 modified "2023-10-16" @default.
- W4301388540 title "Properties of nilpotent orbit complexification" @default.
- W4301388540 doi "https://doi.org/10.48550/arxiv.1505.07729" @default.
- W4301388540 hasPublicationYear "2015" @default.
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