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We present algebraic and geometric classifications of the 4-dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are only 9 non-isomorphic nontrivial nilpotent right alternative… Click to show full abstract
We present algebraic and geometric classifications of the 4-dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are only 9 non-isomorphic nontrivial nilpotent right alternative algebras. The corresponding geometric variety has dimension 13 and it is determined by the Zariski closure of 4 rigid algebras and one one-parametric family of algebras.
Keywords:
right alternative;
algebraic geometric;
nilpotent right;
alternative algebras;
geometric classification
Journal Title: Periodica Mathematica Hungarica
Year Published: 2021
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Journal Title: Periodica Mathematica Hungarica
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!