Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of nilpotent orbit complexification   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.

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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex