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Centralizers in partially commutative Lie algebras

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We give a complete description of centralizers of elements of partially commutative Lie algebras. The result is stated explicitly in terms of generators for a partially commutative algebra.

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Authors and Affiliations

  1. Novosibirsk State Technical University, pr. Marksa 20, Novosibirsk, 630092, Russia

    E. N. Poroshenko

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  1. E. N. Poroshenko
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Correspondence to E. N. Poroshenko.

Additional information

Supported by RFBR, project No. 12-01-00084.

Translated from Algebra i Logika, Vol. 51, No. 4, pp. 524-554, July-August, 2012.

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Poroshenko, E.N. Centralizers in partially commutative Lie algebras. Algebra Logic 51, 351–371 (2012). https://doi.org/10.1007/s10469-012-9196-3

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  • DOI: https://doi.org/10.1007/s10469-012-9196-3

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