Geodesic
The variety of nilpotent Tortkara algebras
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 2, pp. 173-184

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We give algebraic and geometric classification of all $5$-dimensional nilpotent Tortkara algebras over complex field.
Keywords: Tortkara algebra, central extension, geometric classification, degenerations.
Mots-clés : algeraic classification 
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     title = {The variety of nilpotent {Tortkara} algebras},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Ilya B. Gorshkov; Ivan Kaygorodov; Alexey A. Kytmanov; Mohamed A. Salim. The variety of nilpotent Tortkara algebras. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 2, pp. 173-184. http://geodesic.mathdoc.fr/item/JSFU_2019_12_2_a3/