논문KCI 등재
A ONE-DIMENSIONAL PSEUDOREPRESENTATION OF AN AMENABLE GROUP WITH A DEFECT LESS THAN 1/4 IS AN ORDINARY CHARACTER OF THE GROUP
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참고문헌
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초록
We prove that a one-dimensional pseudorepresentation of an amenable group with a defect less than 1/4 is an ordinary character of the group.
Abstract
We prove that a one-dimensional pseudorepresentation of an amenable group with a defect less than 1/4 is an ordinary character of the group.
참고문헌 (4)
- A. I. Shtern, "A version of van der Waerden’s theorem and a proof of Mishchenko’s conjecture on homomorphisms of locally compact groups", Izv. Math, 72(1), pp.169~205 (2008)
- A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci. (N. Y.), 159(5), pp.653~751 (2009)
- A. I. Shtern, "Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups", Sb. Math, 208(10), pp.1557~1576 (2017)
- A. I. Shtern, "Specific properties of one-dimensional pseudorepresentations of groups", J. Math. Sci. (N.Y.), 233(5), pp.770~776 (2018)
관련 논문AI추천
A SPECIAL CASE OF AN UNBOUNDED PSEUDOREPRESENTATION OF AN AMENABLE GROUPA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제3호One-dimensional pseudorepresentations with small defect that are trivial on a normal subgroupA. I. SHTERN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 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 제3호A DECOMPOSITION OF THE SPACE OF PSEUDOCHARACTERS ON A GROUP WITH RESPECT TO A NORMAL SUBGROUPA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제4호A NONTRIVIAL BANACH SPACE QUASIREPRESENTATION WHOSE NONZERO DEFECT OPERATORS ARE NONDEGENERATE IS BOUNDEDA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호Representations approximating quasirepresentations of amenable groups can depend on the choice of an invariant meanA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호
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