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A Version of Lie Theorem for Divisible Solvable Groups

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Abstract

It is proved that if \(G\) is a divisible solvable group and \(\pi\) is a representation of \(G\) in a complex finite-dimensional vector space \(E\), then there is a basis in \(E\) in which the matrices of the representation operators have upper triangular form.

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Funding

Partially supported by the Moscow Center for Fundamental and Applied Mathematics.

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Correspondence to A. I. Shtern.

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Shtern, A.I. A Version of Lie Theorem for Divisible Solvable Groups. Russ. J. Math. Phys. 28, 104–106 (2021). https://doi.org/10.1134/S1061920821010118

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  • DOI: https://doi.org/10.1134/S1061920821010118

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