FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 7, PAGES 85-225

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

A. I. Shtern

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k07/k077/k07702h.htm

Last modified: July 9, 2008