논문KCI 등재
Centerfree connected locally compact groups
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초록
The centerfree connected locally compact groups are described. In particular, every group of this kind has a family of continuous finite-dimensional representations that separates the points of the group.
Abstract
The centerfree connected locally compact groups are described. In particular, every group of this kind has a family of continuous finite-dimensional representations that separates the points of the group.
참고문헌 (4)
- Iwasawa K., "On some types of topological groups", Ann. of Math, 2(50), pp.507~558 (1949)
- Hofmann K.-H., "The Structure of Compact Groups. A primer for the student—a handbook for the expert", de Gruyter Studies in Mathematics, 25, pp.25~ (2006), Walter de Gruyter & Co.
- Weil A., "L’int´egration dans les groupes topologiques et ses applications", pp.1953~ (1953), Hermann
- Stroppel M., "Lie theory for non-Lie groups", J. Lie Theory, 4(2), pp.257~284 (1994)
관련 논문AI추천
CONNECTED LOCALLY COMPACT GROUPS HAVING SUFFICIENTLY MANY FINITE-DIMENSIONAL LINEAR REPRESENTATIONSAlexander I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호Continuous one-dimensional pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호IRREDUCIBLY REPRESENTABLE LIE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호CONTINUITY CONDITIONS FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF ALMOST CONNECTED LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제4호Finite-dimensional finally precontinuous unitary pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호One-dimensional finally precontinuous pseudorepresentations of connected locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제3호
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