Russian Journal of Mathematical Physics

, Volume 26, Issue 1, pp 75–76 | Cite as

A Version of the Weyl Complete Reducibility Theorem for Not Necessarily Continuous Representations of Connected Lie Groups

  • A. I. ShternEmail author


A version of the Weyl complete reducibility theorem for finite-dimensional representations of general connected Lie groups is proved.


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    A. I. Shtern, “Continuity Conditions for Finite–Dimensional Locally Bounded Representations of Connected Locally Compact Groups,” Russ. J. Math. Phys. 25 (3), 345–382 (2018).MathSciNetCrossRefzbMATHGoogle Scholar
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    A. I. Shtern, “Not Necessarily Continuous Locally Bounded Finite–Dimensional Irreducible Representations of Connected Lie Groups,” Adv. Stud. Contemp. Math. (Kyungshang) 29 (1), 1–5 (2019).MathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.Scientific Research Institute for System Analysis of the Russian Academy of SciencesMoscowRussia

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