The variety of dual mock-Lie algebras
L.M. Camacho-Laboratory of Modern Algebra and Applications, St. Petersburg State University and St. Petersburg Department of Steklov Mathematical Institute, St. Petersburg, RussiaIvan Kaygorodov-Laboratory of Modern Algebra and Applications, St. Petersburg State University and St. Petersburg Department of Steklov Mathematical Institute, St. Petersburg, RussiaViktor LopatkinLaboratory of Modern Algebra and Applications , St. Petersburg State University and St. Petersburg Department of Steklov Mathematical Institute , St. Petersburg , RussiaMohamed Salim-Laboratory of Modern Algebra and Applications, St. Petersburg State University and St. Petersburg Department of Steklov Mathematical Institute, St. Petersburg, Russia
2021en
ABI
Annotatsiya
We classify all complex7- and8-dimensional dual mock-Lie al-gebras by the algebraic and geometric way. Also, we find all non-trivialcomplex9-dimensional dual mock-Lie algebras
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