This article is cited in 37 papers

Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture

A. I. Shtern

M. V. Lomonosov Moscow State University

Abstract: In this paper, a description of the structure of all finite-dimensional, locally bounded quasirepresentations of arbitrary connected Lie groups is given and the proof of Mishchenko's conjecture for connected, locally compact groups and a proof of an analog of the van der Waerden theorem (i.e., the automatic continuity condition for all locally bounded, finite-dimensional representations) for the commutator subgroup of an arbitrary connected Lie group are presented.

UDC: 512.546+517.986.6+512.815.1

 English version: Journal of Mathematical Sciences (New York), 2009, 159:5, 653–751

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