K-polystable smooth Fano threefolds with ample Q-divisor polarization have reductive automorphism groups.
Matsuki,Weyl groups and birational transformations among minimal models, Memoirs of the American Mathematical Society116(1995), 133 pages
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A Matsushima theorem for K-polystable polarised smooth Fano threefolds
K-polystable smooth Fano threefolds with ample Q-divisor polarization have reductive automorphism groups.