Geodesic
Triple Lie systems associated with $(-1,1)$ algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 80-84

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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.
Keywords: central isotope, $(-1,1)$-algebra, Lie triple system. 
@article{IVM_2020_3_a6,
     author = {L. R. Borisova and S. V. Pchelintsev},
     title = {Triple {Lie} systems associated with $(-1,1)$ algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {80--84},
     publisher = {mathdoc},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_3_a6/}
}
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L. R. Borisova; S. V. Pchelintsev. Triple Lie systems associated with $(-1,1)$ algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 80-84. http://geodesic.mathdoc.fr/item/IVM_2020_3_a6/