논문KCI 등재
Approximate automorphisms of solvable linear connected Lie groups
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초록
We apply well-known results concerning quasirepresentations and pure pseudorepresentations to study approximate automorphisms of solvable connected linear Lie groups with small defect.
Abstract
We apply well-known results concerning quasirepresentations and pure pseudorepresentations to study approximate automorphisms of solvable connected linear Lie groups with small defect.
참고문헌 (4)
- D. Luminet, "Faithful uniformly continuous representations of Lie groups", J. London Math. Soc., 49(2), pp.100~108 (1994)
- A. I. Shtern, "Norm continuous representations of locally compact groups", Russ. J. Math. Phys., 15(4), pp.552~553 (2008)
- A. I. Shtern, "Quasisymmetry. I", Russ. J. Math. Phys., 2(3), pp.353~382 (1994)
- A. I. Shtern, "A class of simple Lie groups whose quasirepresentations with small defect can be approximated by an ordinary representation", Advanced Studies in Contemporary Mathematics, 27(3), pp.303~306 (2017), 장전수학회[DOI]
관련 논문AI추천
A 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 제3호Locally bounded automorphisms of connected Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제3호Not necessarily continuous locally bounded finite-dimensional indecomposable pseudorepresentations of connected Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호Continuous one-dimensional pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호GROUPS OF ONE-DIMENSIONAL PURE PSEUDOREPRESENTATIONS OF GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제3호One-dimensional finally precontinuous pseudorepresentations of almost connected locally compact groups whose identity component has no Hermitian symmetric quotientsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호
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