The variety of dual mock-Lie algebras

Camacho, Luisa M.   ; Kaygorodov, Ivan   ; Lopatkin, Viktor   ; Salim, Mohamed A.

Communications in Mathematics, Tome 28 (2020) no. 2, pp. 161-178

Abstract (VO)

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.

Détail

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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