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Triple Lie Systems Associated with (−1, 1) Algebras

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Abstract

We introduce a Lie triple system associated with the central isotope of (− 1, 1)-algebra. The associator ideal of (−1, 1)-algebra is nilpotent if and only if the Lie triple system is nilpotent. The relationship of the constructed Lie triple system with other known Lie triple systems is discussed.

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Authors and Affiliations

  1. Finance University under the Government, 49 Leningradsky Ave., Moscow, 125993, Russia

    L. R. Borisova & S. V. Pchelintsev

Authors
  1. L. R. Borisova
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  2. S. V. Pchelintsev
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Corresponding authors

Correspondence to L. R. Borisova or S. V. Pchelintsev.

Additional information

Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 3, pp. 80–84.

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Borisova, L.R., Pchelintsev, S.V. Triple Lie Systems Associated with (−1, 1) Algebras. Russ Math. 64, 72–75 (2020). https://doi.org/10.3103/S1066369X2003007X

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  • DOI: https://doi.org/10.3103/S1066369X2003007X

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