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math.RA2021★ 9 cited
The geometric classification of nilpotent algebras
Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes
We give a geometric classification of -dimensional nilpotent, commutative nilpotent and anticommutative nilpotent algebras. We prove that the corresponding geometric varieties a…
math.RA2020★ 18 cited
The algebraic classification of nilpotent algebras
Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes
We give the complete algebraic classification of all complex 4-dimensional nilpotent algebras. The final list has 234 (parametric families of) isomorphism classes of algebras, 66 o…