논문KCI 등재
THE UNITARY CHARACTERS ON THE RADICAL OF AN ALMOST CONNECTED LIE GROUP THAT ADMIT AN EXTENSION TO A ONE-DIMENSIONAL BOUNDED PSEUDOREPRESENTATION OF THE LIE GROUP
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초록
We determine the unitary characters on the radical of an almost connected Lie group that admit an extension to a one-dimensional bounded pseudorepresentations of the Lie group.
Abstract
We determine the unitary characters on the radical of an almost connected Lie group that admit an extension to a one-dimensional bounded pseudorepresentations of the Lie group.
참고문헌 (14)
- A. I. Shtern, "Group of one-dimensional bounded pure pseudorepresentations of a simple Lie group", Adv. Stud. Contemp. Math., Kyungshang, 32(2) (2024)
- A. I. Shtern, "Group of one-dimensional bounded pseudorepresentations of a group", Adv. Stud. Contemp. Math., Kyungshang, 32(2), pp.247~249 (2022)
- A. I. Shtern, "Groups of one-dimensional pure pseudo representations of groups", Adv. Stud. Contemp. Math., Kyungshang, 31(3), pp.389~393 (2021)
- 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)
- D. H. Lee, "Supplements for the identity component in locally compact groups", Math. Z, 104(1), pp.28~49 (1968)
- A. I. Shtern, "One-dimensional pseudorepresentations of almost connected Lie groups", Adv. Studies Contemp. Math. (Kyungshang), 33(3), pp.199~202
- "A one-dimensional pseudorepresentation of an almost connected locally compact group is an exponential of a pseudocharacter on the group iff it is trivial on a Lee supplementary subgroup of the group", Proc. Jangjeon Math. Soc, 26(1), pp.119~122 (2023)
- A. I. Shtern, "A one-dimensional pseudorepresentation of an amenable group with a defect less than 1=4 is an ordinary character of the group", Proc. Jangjeon Math. Soc, 25(4), pp.365~368 (2022)
- A. I. Shtern, "Extensions of Unitary One-Dimensional Representations from Subgroups", Adv. Studies Contemp. Math. (Kyungshang), 33(4), pp.543~548
- A. I. Shtern, "A revised formula for a locally bounded pseudocharacter on an almost connected locally compact group", Adv. Stud. Contemp. Math., Kyungshang, 32(4), pp.543~548 (2022)
- A. I. Shtern, "The group of one-dimensional bounded pseudorepresentations of an almost connected Lie group whose identity component is simple", Proc. Jangjeon Math. Soc, 27(2), pp.399~404 (2024)
관련 논문AI추천
THE GROUP OF ONE-DIMENSIONAL BOUNDED PSEUDOREPRESENTATIONS OF AN ALMOST CONNECTED LIE GROUP WHOSE IDENTITY COMPONENT IS SIMPLEA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호Continuous one-dimensional pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호Not necessarily continuous locally bounded finite-dimensional irreducible representations of connected lie groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호EVERY (NOT NECESSARILY CONTINUOUS) FINITE-DIMENSIONAL IRREDUCIBLE LOCALLY BOUNDED REPRESENTATION OF A CONNECTED LIE GROUP IS DETERMINED BY THE CHARACTER OF THE REPRESENTATIONA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제2호One-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 제4호IRREDUCIBLE LOCALLY BOUNDED FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF CONNECTED LIE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제3호
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