The algebraic classification of nilpotent commutative algebras

preprint2021arXivOpen access

Abstract

This paper is devoted to the complete algebraic classification of complex 55-dimensional nilpotent commutative algebras. Our method of classification is based on the standard method of classification of central extensions of smaller nilpotent commutative algebras and the recently obtained classification of complex 55-dimensional nilpotent commutative CD\mathfrak{CD}-algebras.

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