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• W1502585178 abstract "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." @default.
• W1502585178 created "2016-06-24" @default.
• W1502585178 creator A5016561479 @default.
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• W1502585178 date "2005-07-04" @default.
• W1502585178 modified "2023-09-27" @default.
• W1502585178 title "Irreducibly acting subgroups of $Gl(n,rr)$" @default.
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