The algebraic and geometric classification of nilpotent noncommutative Jordan algebras
Doston JumaniyozovNational University of Uzbekistan, Tashkent, UzbekistanIvan KaygorodovCMCC, Universidade Federal do ABC, Santo André, BrazilAbror KhudoyberdiyevInstitute of Mathematics Academy of Science of Uzbekistan, Tashkent, Uzbekistan
ABI
Аннотация
We give algebraic and geometric classifications of complex four-dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only [Formula: see text] non-isomorphic nontrivial nilpotent noncommutative Jordan algebras. The corresponding geometric variety is determined by the Zariski closure of three rigid algebras and two one-parametric families of algebras.
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