논문KCI 등재
LOCALLY BOUNDED NOT A PRIORI CONTINUOUS HOMOMORPHISMS OF NONCOMPACT SEMISIMPLE LIE GROUPS INTO CONNECTED AMENABLE LIE GROUPS ARE IDENTITY HOMOMORPHISMS
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참고문헌
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초록
We prove that every not a priori continuous locally bounded homomorphism of a noncompact connected simple Lie group a connected amenable Lie group is the identity homomorphism.
Abstract
We prove that every not a priori continuous locally bounded homomorphism of a noncompact connected simple Lie group a connected amenable Lie group is the identity homomorphism.
참고문헌 (5)
- Alexander I. Shtern, "APPLICATIONS OF AUTOMATIC CONTINUITY RESULTS TO ANALOGS OF THE FREUDENTHAL–WEIL AND HOCHSCHILD THEOREMS", Advanced Studies in Contemporary Mathematics, 20(2), pp.203~212 (2010), 장전수학회
- A. I. Shtern, "Not necessarily continuous locally bounded finite-dimensional irreducible representations of connected lie groups", Advanced Studies in Contemporary Mathematics, 29(1), pp.1~5 (2019), 장전수학회[DOI]
- A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Mat. Sb, 208(10), pp.149~170 (2017)
- A. I. Shtern, "Connected Lie groups admitting an embedding in a connected amenable Lie group", Russ. J. Math. Phys, 26(4), pp.499~500 (2019)
- A. L. T. Paterson, "Amenability. Mathematical Surveys and Monographs", ~ (1988)
관련 논문AI추천
Continuity conditions for homomorphisms of connected locally compact groups into Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제2호Locally bounded automorphisms of connected Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제3호LOCALLY BOUNDED AUTOMORPHISMS OF CONNECTED LIE GROUPS WITHOUT NONTRIVIAL COMPACT CONNECTED SUBGROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제4호A class of simple Lie groups whose quasirepresentations with small defect can be approximated by an ordinary representationA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호Continuity criteria for locally bounded homomorphisms of certain connected Lie groupsA. I. SHTERN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2023 · 제26권 제4호IMPROVED CONTINUITY CRITERIA FOR LOCALLY BOUNDED HOMOMORPHISMS BETWEEN CENTRAL EXTENSIONS OF PERFECT LIE GROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제1호
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