The algebraic and geometric classification of nilpotent anticommutative algebras
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106337
Abstract: Abstract We give algebraic and geometric classifications of 6-dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are 14 one-parameter families of 6-dimensional nilpotent anticommutative algebras, complemented by 130 additional isomorphism… read more here.
Keywords: algebraic geometric; anticommutative algebras; nilpotent anticommutative; geometric classification ... See more keywords
The algebraic classification of nilpotent Tortkara algebras
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DOI: 10.1080/00927872.2020.1742347
Abstract: Abstract We classify all complex 6-dimensional nilpotent Tortkara algebras. Communicated by Alberto Facchini read more here.
Keywords: classification nilpotent; algebraic classification; nilpotent tortkara; tortkara algebras ... See more keywords
Classification of nilpotent evolution algebras and extensions of their derivations
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DOI: 10.1080/00927872.2020.1757688
Abstract: Abstract This article is devoted to n-dimensional nilpotent finite-dimensional evolution algebras with maximal index of nilpotency. We are able to find full invariants of these algebras which allows us to classify them. Furthermore, we explicitly… read more here.
Keywords: evolution; classification nilpotent; extensions derivations; nilpotent evolution ... See more keywords