Luisa M. Camacho ; Ivan Kaygorodov ; Viktor Lopatkin ; Mohamed A. Salim
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The variety of dual mock-Lie algebras
cm:9511 -
Communications in Mathematics,
October 11, 2020,
Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto)
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https://doi.org/10.2478/cm-2020-0019
The variety of dual mock-Lie algebrasArticle
Authors: Luisa M. Camacho ; Ivan Kaygorodov ; Viktor Lopatkin ; Mohamed A. Salim
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Luisa M. Camacho;Ivan Kaygorodov;Viktor Lopatkin;Mohamed A. Salim
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.
Renato Fehlberg Júnior;Ivan Kaygorodov;Crislaine Kuster, 2022, The algebraic and geometric classification of antiassociative algebras, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116, 2, omid:br/0640609569 doi:10.1007/s13398-022-01218-4.