논문KCI 등재
Continuity conditions for homomorphisms of connected locally compact groups into Lie groups
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'Using recent results concerning homomorphisms between con nected Lie groups, we obtain some results concerning the automatic conti nuity of some simplest homomorphisms of connected locally compact groups into connected Lie groups and consider examples showing that such a homo morphism can be discontinuous everywhere.
Abstract
'Using recent results concerning homomorphisms between con nected Lie groups, we obtain some results concerning the automatic conti nuity of some simplest homomorphisms of connected locally compact groups into connected Lie groups and consider examples showing that such a homo morphism can be discontinuous everywhere.
관련 논문AI추천
Locally bounded automorphisms of connected Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제3호LOCALLY BOUNDED NOT A PRIORI CONTINUOUS HOMOMORPHISMS OF NONCOMPACT SEMISIMPLE LIE GROUPS INTO CONNECTED AMENABLE LIE GROUPS ARE IDENTITY HOMOMORPHISMSA. I. SHTERN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제3호Bounded structure and continuity for homomorphisms of perfect connected locally compact groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호LOCALLY BOUNDED AUTOMORPHISMS OF CONNECTED LIE GROUPS WITHOUT NONTRIVIAL COMPACT CONNECTED SUBGROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제4호Continuity criteria for locally bounded homomorphisms of certain connected Lie groupsA. I. SHTERN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2023 · 제26권 제4호Discontinuity group of a finally continuous finite-dimensional representation of a connected locally compact group is commutativeA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제4호
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