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Approximations of Lie algebras

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Abstract

It is proved that a finitely generated metabelian Lie algebra over an arbitrary field can be approximated by finite-dimensional algebras and a stronger result is also obtained over fields of nonzero characteristics.

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Literature cited

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    Yu. A. Bakhturin

Authors
  1. Yu. A. Bakhturin
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Translated from Matematicheskie Zametki, Vol. 12, No. 6, pp. 713–716, December, 1972.

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Bakhturin, Y.A. Approximations of Lie algebras. Mathematical Notes of the Academy of Sciences of the USSR 12, 868–870 (1972). https://doi.org/10.1007/BF01156046

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  • DOI: https://doi.org/10.1007/BF01156046

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