Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real GIT with applications to compatible representations and
  Wick-rotations   Motivated by Wick-rotations of pseudo-Riemannian manifolds, we study real
geometric invariant theory (GIT) and compatible representations. We extend some
of the results from earlier works \cite{W2,W1}, in particular, we give some
sufficient as well as necessary conditions for when pseudo-Riemannian manifolds
are Wick-rotatable to other signatures. For arbitrary signatures, we consider a
Wick-rotatable pseudo-Riemannian manifold with closed $O(p,q)$-orbits, and thus
generalise the existence condition found in \cite{W1}. Using these existence
conditions we also derive an invariance theorem for Wick-rotations of arbitrary
signatures.

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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph