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

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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 derWaerden 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.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 7, pp. 85–225, 2007.

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Shtern, A.I. Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko’s conjecture. J Math Sci 159, 653–751 (2009). https://doi.org/10.1007/s10958-009-9466-3

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