Continuity Criteria for Locally Bounded Automorphisms of Central Extensions of Perfect Lie Groups, Shtern A.Iстатья
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Дата последнего поиска статьи во внешних источниках: 22 декабря 2021 г.
Аннотация:We prove that every locally bounded automorphism of a linear connected Lie central extension of a connected perfect Lie group is continuous if and only if it is continuous on the center. We also prove that, if Z is a connected Abelian group without nontrivial compact subgroups, H is a connected perfect Lie group and the short sequence of Lie groups {e}→Z→G→H→{e} is exact, then every locally bounded automorphism of G is continuous if and only if it is continuous on the center of G.