Abstract
We prove that every locally bounded automorphism of a connected not necessarily linear Lie central extension of a connected perfect Lie group with discrete center is continuous if and only if it is continuous on the center.
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References
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The research was partially supported by the Moscow Center for Fundamental and Applied Mathematics.
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Shtern, A.I. Continuity Criterion for Locally Bounded Automorphisms of Central Extensions of Perfect Lie Groups with Discrete Center. Russ. J. Math. Phys. 29, 119–120 (2022). https://doi.org/10.1134/S1061920822010113
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DOI: https://doi.org/10.1134/S1061920822010113