The algebraic and geometric classification of nilpotent right alternative algebras
Ismailov N. Kaygorodov I. Mustafa M.
March 2022Springer Science and Business Media B.V.
Periodica Mathematica Hungarica
2022#84Issue 118 - 30 pp.
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.
Algebraic classification , Central extension , Degeneration , Geometric classification , Nilpotent algebras , Right alternative algebras
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Astana IT University, Nur-Sultan, Kazakhstan
CMCC, Universidade Federal do ABC, Santo André, Brazil
Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Moscow Center for Fundamental and Applied Mathematics, Moscow, GSP-1, 119991, Russian Federation
Astana IT University
CMCC
Department of Mathematics
Moscow Center for Fundamental and Applied Mathematics
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