Geodesic
The variety of dual mock-Lie algebras
Communications in Mathematics, Tome 28 (2020) no. 2, pp. 161-178.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We classify all complex $7$- and $8$-dimensional dual mock-Lie algebras by the algebraic and geometric way. Also, we find all non-trivial complex $9$-dimensional dual mock-Lie algebras.
Classification : 14D06, 14L30, 17A30
Keywords: Nilpotent algebra; mock-Lie algebra; dual mock-Lie algebra; anticommutative algebra; algebraic classification; geometric classification; central extension; degeneration 
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     author = {Camacho, Luisa M. and Kaygorodov, Ivan and Lopatkin, Viktor and Salim, Mohamed A.},
     title = {The variety of dual {mock-Lie} algebras},
     journal = {Communications in Mathematics},
     pages = {161--178},
     publisher = {mathdoc},
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     number = {2},
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     mrnumber = {4162928},
     zbl = {07300188},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2020__28_2_a5/}
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Camacho, Luisa M.; Kaygorodov, Ivan; Lopatkin, Viktor; Salim, Mohamed A. The variety of dual mock-Lie algebras. Communications in Mathematics, Tome 28 (2020) no. 2, pp. 161-178. http://geodesic.mathdoc.fr/item/COMIM_2020__28_2_a5/