E-resources
Peer reviewed
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Júnior, Renato Fehlberg; Kaygorodov, Ivan; Kuster, Crislaine
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 04/2022, Volume: 116, Issue: 2Journal Article
This paper is devoted to the complete algebraic and geometric classification of complex four and five-dimensional antiassociative algebras. In particular, we proved that the variety of complex four-dimensional antiassociative algebras has dimension 12 and it is defined by three irreducible components (in particular, there is only 1 rigid algebra in this variety); the variety of complex five-dimensional antiassociative algebras has dimension 24 and it is defined by 8 irreducible components (in particular, there are only 4 rigid algebras in this variety).
