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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)

  1. 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)
  2. 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)
  3. 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]
  4. Harish-Chandra, "On faithful representations of Lie groups", Proc. Amer. Math. Soc, 1, pp.205~210 (1950)
  5. 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

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