논문KCI 등재
A 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 topology
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참고문헌
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초록
We obtain a criterion for the continuity, with respect to the original topology of the group, of the restriction, of a locally bounded finitedimensional representation of a connected Lie group, to the commutator subgroup of the group.
Abstract
We obtain a criterion for the continuity, with respect to the original topology of the group, of the restriction, of a locally bounded finitedimensional representation of a connected Lie group, to the commutator subgroup of the group.
참고문헌 (4)
- A. I. Shtern, "Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups", Mat. Sb, 208(10), pp.149~170 (2017)
- A. I. Shtern, "Continuity Conditions for Finite-Dimensional Locally Bounded Representations of Connected Locally Compact Groups", Russ. J. Math. Phys, 25(5), pp.345~382 (2018)
- V. S. Varadarajan, "Lie Groups, Lie Algebras, and Their Representations" (1974), Prentice-Hall Inc.
- A. I. Shtern, "Bounded structure and continuity for homomorphisms of perfect connected locally compact groups", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(3), pp.235~240 (2012), 장전수학회[DOI]
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 LOCALLY BOUNDED FINITE-DIMENSIONAL REPRESENTATIONS OF TOTALLY DISCONNECTED LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호Not necessarily continuous locally bounded finite-dimensional irreducible representations of connected lie groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호Connected Lie groups with many locally bounded finite-dimensional representations are linearA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호Discontinuity group of a finally continuous finite-dimensional representation of a connected locally compact group is commutativeA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제4호Continuity conditions for finite-dimensional locally bounded finally precontinuous quasirepresentations of locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제18권 제2호
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