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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 3, Pages 80–84
DOI: https://doi.org/10.26907/0021-3446-2020-3-80-84 (Mi ivm9553) 		 
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Triple Lie systems associated with $(-1,1)$ algebras

L. R. Borisova, S. V. Pchelintsev

Finance University under the Government, 49 Leningradsky Ave., Moscow, 125993 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-3-80-84
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.
Keywords: central isotope, $(-1,1)$-algebra, Lie triple system.
Received: 16.10.2019
Revised: 16.10.2019
Accepted: 18.12.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 3, Pages 72–75
DOI: https://doi.org/10.3103/S1066369X2003007X
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: L. R. Borisova, S. V. Pchelintsev, “Triple Lie systems associated with $(-1,1)$ algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 3, 80–84; Russian Math. (Iz. VUZ), 64:3 (2020), 72–75
Citation in format AMSBIB
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\paper Triple Lie systems associated with $(-1,1)$ algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 3
\pages 80--84
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\jour Russian Math. (Iz. VUZ)
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\vol 64
\issue 3
\pages 72--75
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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