Linear Lie Groups All of Whose Irreducible Finite-Dimensional Not Necessarily Unitary Representations Are of Bounded Dimension and Separate the Points of the Group

2025/10/02 by Shtern, A. I.
#FOS: Mathematics #Primary 22A99 #Representation Theory (math.RT) #Secondary 22A25 22E25

paper · doi:10.48550/arxiv.2510.07330

Abstract

We prove that all linear Lie groups satisfying the conditions listed in the title are finite extensions of commutative Lie groups.

Related

• Linear Lie algebras with finite dimensional centralizers
• Finite-dimensional Lie subalgebras of algebras with continuous inversion
• Fundamental problems in the theory of infinite-dimensional Lie groups
• Notes on representations of finite groups of Lie type
• Representations of Lie groups