Abstract
In this paper we characterize the Lie algebra of the automorphism group of a closed convex wedge in a finite dimensional real vector space and apply the result to obtain a characterization of invariant wedges in Lie algebras. As a consequence we derive a complete description of the Lie semialgebras in compact Lie algebras. We describe some of the details.
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Hilgert, J., Hofmann, K.H. On the automorphism group of cones and wedges. Geom Dedicata 21, 205–217 (1986). https://doi.org/10.1007/BF00182908
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DOI: https://doi.org/10.1007/BF00182908