논문KCI 등재
Not necessarily continuous locally bounded finite-dimensional irreducible representations of connected lie groups
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초록
We obtain an explicit form for every (not necessarily continuous) locally bounded finite-dimensional representation of a connected Lie group in terms of representations of the radical and a Levi subgroup of the group.
Abstract
We obtain an explicit form for every (not necessarily continuous) locally bounded finite-dimensional representation of a connected Lie group in terms of representations of the radical and a Levi subgroup of the group.
참고문헌 (8)
- A. O. Barut, "Theory of Group Representations and Applications" (1986), World Scientific Publishing Co.
- A. I. Shtern, "Continuity Conditions for Finite-Dimensional Locally Bounded Representations of Connected Locally Compact Groups", Russ. J. Math. Phys, 25(3), pp.345~382 (2018)
- 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, "Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups", English transl., Sb. Math, 208(10), pp.1557~1576 (2017)
- A. I. Shtern, "Finite-dimensional quasi-representations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci, 159(5), pp.653~751 (2009)
- 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)
- L. S. Pontryagin, "Topological Groups" (1966), Gordon and Breach Science Publishers, Inc
관련 논문AI추천
Not necessarily continuous locally bounded finite-dimensional representations of connected Lie groups with indecomposable restriction to the radicalA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제2호NOT NECESSARILY CONTINUOUS LOCALLY BOUNDED FINALLY PRECONTINUOUS FINITE-DIMENSIONAL IRREDUCIBLE REPRESENTATIONS OF CONNECTED LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제1호Not necessarily continuous locally bounded finite-dimensional indecomposable pseudorepresentations of connected Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호EVERY (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 제2호IRREDUCIBLE LOCALLY BOUNDED FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF CONNECTED LIE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제3호Connected Lie groups with many locally bounded finite-dimensional representations are linearA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호
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