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This article is cited in 14 scientific papers (total in 14 papers)
The variety of nilpotent Tortkara algebras
Ilya B. Gorshkova, Ivan Kaygorodovb, Alexey A. Kytmanovc, Mohamed A. Salimd a Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
b CMCC, Universidade Federal do ABC, Santo André, Brasil
c Institute of Space and Information Technologies, Siberian Federal University, Kirensky, 26, Krasnoyarsk, 660074, Russia
d United Arab Emirates University, Al Ain, UAE
Abstract:
We give algebraic and geometric classification of all $5$-dimensional nilpotent Tortkara algebras over complex field.
Keywords:
Tortkara algebra, algeraic classification, central extension, geometric classification, degenerations.
Received: 06.11.2018 Received in revised form: 06.12.2018 Accepted: 06.08.2018
Citation:
Ilya B. Gorshkov, Ivan Kaygorodov, Alexey A. Kytmanov, Mohamed A. Salim, “The variety of nilpotent Tortkara algebras”, J. Sib. Fed. Univ. Math. Phys., 12:2 (2019), 173–184
Linking options:
https://www.mathnet.ru/eng/jsfu747 https://www.mathnet.ru/eng/jsfu/v12/i2/p173
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Abstract page: | 299 | Full-text PDF : | 105 | References: | 36 |
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