논문KCI 등재
CONTINUITY CONDITIONS FOR LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF TOTALLY DISCONNECTED LOCALLY COMPACT GROUPS
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초록
We obtain a criterion for the continuity of a locally bounded finite-dimensional representation of a totally disconnected locally compact group.
Abstract
We obtain a criterion for the continuity of a locally bounded finite-dimensional representation of a totally disconnected locally compact group.
참고문헌 (5)
- A. I. Shtern, "Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups", Mat. Sb., 208(10), pp.149~170 (2017)[DOI]
- A. I. Shtern, "Finite-dimensional quasi-representations of connected Lie groups and Mishchenko's conjecture", J. Math. Sci., 159(5), pp.653~751 (2009)[DOI]
- A. I. Shtern, "REMARKS ON FINITE-DIMENSIONAL LOCALLY BOUNDED FINALLY PRECONTINUOUS QUASIREPRESENTATIONS OF LOCALLY COMPACT GROUPS", Advanced Studies in Contemporary Mathematics, 20(4), pp.469~480 (2010), 장전수학회
- 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)[DOI]
- L. S. Pontryagin, "Topological Groups, 3rd ed, Izdat. "Nauka", Moscow" (1973), Gordon and Breach Science Publishers, Inc.
관련 논문AI추천
CONTINUITY 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 제4호Continuity conditions for finite-dimensional locally bounded finally precontinuous quasirepresentations of locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제18권 제2호A criterion for the continuity of the restriction to the commutator subgroup of a locally bounded finite-dimensional representation of a connected Lie group with respect to the ordinary group topologyA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제1호CONNECTED LOCALLY COMPACT GROUPS HAVING SUFFICIENTLY MANY FINITE-DIMENSIONAL LINEAR REPRESENTATIONSAlexander I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호Discontinuity group of a finally continuous finite-dimensional representation of a connected locally compact group is commutativeA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제4호Finite-dimensional finally precontinuous unitary pseudorepresentations of almost connected locally compact groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호
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