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Commutativity of the discontinuity group for a locally bounded homomorphism of a connected Lie group into a linear connected Lie group
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Commutativity of the discontinuity group for a locally bounded homomorphism of a connected Lie group into a linear connected Lie group
Abstract
Commutativity of the discontinuity group for a locally bounded homomorphism of a connected Lie group into a linear connected Lie group
참고문헌 (5)
- A. I. Shtern, "Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture", J. Math. Sci. (N. Y. ), 159(5), pp.653~751 (2009)
- 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, "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", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 22(1), pp.201~204 (2019), 장전수학회[DOI]
- Harish-Chandra, "On faithful representations of Lie groups", Proc. Amer. Math. Soc, 1, pp.205~210 (1950)
- A. I. Shtern, "Connected Lie groups with many locally bounded finite-dimensional representations are linear", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 14(2), pp.183~188 (2011), 장전수학회
관련 논문AI추천
Continuity criteria for locally bounded homomorphisms of certain connected Lie groupsA. I. SHTERN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2023 · 제26권 제4호Continuity conditions for locally bounded endomorphisms of linear Lie groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2023 · 제33권 제1호Continuity conditions for homomorphisms of connected locally compact groups into Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제2호Locally bounded automorphisms of connected Lie groupsA. I. Shtern장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제3호Discontinuity group of a finally continuous finite-dimensional representation of a connected locally compact group is commutativeA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제4호LOCALLY BOUNDED NOT A PRIORI CONTINUOUS HOMOMORPHISMS OF NONCOMPACT SEMISIMPLE LIE GROUPS INTO CONNECTED AMENABLE LIE GROUPS ARE IDENTITY HOMOMORPHISMSA. I. SHTERN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제3호
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