Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie wedges of endomorphism semigroups of standard subspaces in
  admissible Lie algebras   Let $\mathfrak{g}$ be a real finite-dimensional Lie algebra containing
pointed generating invariant closed convex cones. We determine those
derivations $D$ of $\mathfrak{g}$ which induce a 3-grading of the form
$\mathfrak{g} = \mathfrak{g}_{-1} \oplus \mathfrak{g}_0 \oplus \mathfrak{g}_1$
on $\mathfrak{g}$ such that the $(\pm 1)$-eigenspaces $\mathfrak{g}_{\pm 1}$ of
$D$ are generated by the intersections with generating cones of the form $W =
\mathcal{O}_f^*$, where $\mathcal{O}_f$ is the coadjoint orbit of a linear
functional $f \in \mathfrak{z}(\mathfrak{g})^*$ and $\mathcal{O}_f^*$ is the
dual cone of $\mathcal{O}_f$. In particular, we show that, if $\mathfrak{g}$ is
solvable, no such derivation except the trivial one exists.
  This continues our classification of Lie algebras generated by Lie wedges of
endomorphism semigroups of standard subspaces. The classification is motivated
by the relation of nets of standard subspaces to Haag-Kastler nets of von
Neumann algebras in Algebraic Quantum Field Theory.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph