The algebraic and geometric classification of nilpotent right alternative algebras
arXiv:2107.05440 · doi:10.1007/s10998-021-00386-x
Abstract
We present algebraic and geometric classifications of the -dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are only non-isomorphic nontrivial nilpotent right alternative algebras. The corresponding geometric variety has dimension and it is determined by the Zariski closure of rigid algebras and one one-parametric family of algebras.
arXiv admin note: substantial text overlap with arXiv:1903.08997, arXiv:2101.07375, arXiv:1812.01442