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The algebraic classification of nilpotent algebras

Preprint

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, $66$ of which are new in the literature.

Ivan Kaygorodov

Mykola Khrypchenko

Publication

Year of publication: 2020

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Preprint