Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Irreducibly acting subgroups of $Gl(n,\rr)$   In this note we prove the following three algebraic facts which have
applications in the theory of holonomy groups and homogeneous spaces: Any
irreducibly acting connected subgroup $G \subset Gl(n,\rr)$ is closed.
Moreover, if $G$ admits an invariant bilinear form of Lorentzian signature, $G$
is maximal, i.e. it is conjugated to $SO(1,n-1)_0$. Finally we calculate the
vector space of $G$-invariant symmetric bilinear forms, show that it is at most
3-dimensional, and determine the maximal stabilizers for each dimension.

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The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph