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Keywords:
Nilpotent algebra; mock-Lie algebra; dual mock-Lie algebra; anticommutative algebra; algebraic classification; geometric classification; central extension; degeneration
Nilpotent algebra; mock-Lie algebra; dual mock-Lie algebra; anticommutative algebra; algebraic classification; geometric classification; central extension; degeneration
Summary:
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.
References:
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