논문KCI 등재
EVERY (NOT NECESSARILY CONTINUOUS) FINITE-DIMENSIONAL IRREDUCIBLE LOCALLY BOUNDED REPRESENTATION OF A CONNECTED LIE GROUP IS DETERMINED BY THE CHARACTER OF THE REPRESENTATION
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참고문헌
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초록
It is proved that every (not necessarily continuous) finite-dimensional irreducible locally bounded representation of a connected Lie group is uniquely determined by the character of the representation.
Abstract
It is proved that every (not necessarily continuous) finite-dimensional irreducible locally bounded representation of a connected Lie group is uniquely determined by the character of the representation.
참고문헌 (6)
- A. O. Barut, "Theory of Group Representations and Applications" (1986), World Scientific Publishing Co
- A. I. Shtern, "Not necessarily continuous locally bounded finite-dimensional irreducible representations of connected lie groups", Advanced Studies in Contemporary Mathematics, 29(1), pp.1~5 (2019), 장전수학회[DOI]
- V. S. Varadarajan, "Lie Groups, Lie Algebras, and Their Representations" (1974), Prentice-Hall Inc.
- M. A. Naimark, "Theory of Group Representations" (1982), Springer-Verlag
- 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, "NOT NECESSARILY CONTINUOUS LOCALLY BOUNDED FINALLY PRECONTINUOUS FINITE-DIMENSIONAL IRREDUCIBLE REPRESENTATIONS OF CONNECTED LOCALLY COMPACT GROUPS", Advanced Studies in Contemporary Mathematics, 31(1), pp.1~5 (2021), 장전수학회
관련 논문AI추천
Not necessarily continuous locally bounded finite-dimensional irreducible representations of connected lie groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호IRREDUCIBLE LOCALLY BOUNDED FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF CONNECTED LIE GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제3호NOT NECESSARILY CONTINUOUS LOCALLY BOUNDED FINALLY PRECONTINUOUS FINITE-DIMENSIONAL IRREDUCIBLE REPRESENTATIONS OF CONNECTED LOCALLY COMPACT GROUPSA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제1호CHARACTERS OF FINITE-DIMENSIONAL PSEUDOREPRESENTATIONS OF GROUPSA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제3호Not 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 finite-dimensional indecomposable pseudorepresentations of connected Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호
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