The classification of $n$ -dimensional anticommutative algebras with $(n-3)$ -dimensional annihilator

preprint2018arXivOpen access

We give the classification of all $n$ -dimensional anticommutative complex algebras with $(n-3)$ -dimensional annihilator. Namely, we describe all central extensions of all $3$ -dimensional anticommutative complex algebras.

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The classification of $n$ -dimensional anticommutative algebras with $(n-3)$ -dimensional annihilator

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The classification of nnn-dimensional anticommutative algebras with (n−3)(n-3)(n−3)-dimensional annihilator

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The classification of $n$ -dimensional anticommutative algebras with $(n-3)$ -dimensional annihilator