Ilya B. Gorshkov, Ivan Kaygorodov, Alexey A. Kytmanov, Mohamed A. Salim, “The variety of nilpotent Tortkara algebras”, J. Sib. Fed. Univ. Math. Phys., 2019, Volume 12, Issue 2,Pages <nobr>173–184</nobr>

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J. Sib. Fed. Univ. Math. Phys., 2019 Volume 12, Issue 2, Pages 173–184 (Mi jsfu747)

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The variety of nilpotent Tortkara algebras

Ilya B. Gorshkov^a, Ivan Kaygorodov^b, Alexey A. Kytmanov^c, Mohamed A. Salim^d

^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.

UDC: 512.554.1

Received: 06.11.2018
Received in revised form: 06.12.2018
Accepted: 06.08.2018

Language: English

DOI: 10.17516/1997-1397-2019-12-2-173-184

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