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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) 제24권 제2호
- 발행연도
- 2021.4
- 수록면
- 263 - 267 (5page)
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초록· 키워드
오류제보하기
We introduce a class of solvable groups containing the class of connected solvable Lie groups and such that every irreducible finite-dimensional representation of a group of this class is one-dimensional. Therefore, every finite-dimensional representation of a group of this class admits a basis in the representation space in which all representation operators have upper triangular matrices.
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참고문헌 (8)
참고문헌 신청
V. S. Varadarajan / 1974 / Lie Groups, Lie Algebras, and Their Representations / Prentice-Hall Inc
M. A. Naimark / 1982 / Theory of Group Representations / Springer-Verlag
A. I. Shtern / 1994 / Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups / Sb. Math 208(10):1557~1576
A. I. Shtern / 2021 / A Version of Lie Theorem for Divisible Solvable Groups / Russ. J. Math. Phys 28(1):104~106
A. I. Mal’cev [Mal’tsev] / 1951 / On some classes of infinite solvable groups / Mat. Sb. (N.S.) 28(3):567~588
M. A. Naimark / 1982 / Theory of Group Representations / Springer-Verlag
A. I. Shtern / 1994 / Locally Bounded Finally Precontinuous Finite-Dimensional Quasirepresentations of Locally Compact Groups / Sb. Math 208(10):1557~1576
A. I. Shtern / 2021 / A Version of Lie Theorem for Divisible Solvable Groups / Russ. J. Math. Phys 28(1):104~106
A. I. Mal’cev [Mal’tsev] / 1951 / On some classes of infinite solvable groups / Mat. Sb. (N.S.) 28(3):567~588
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