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arXiv · 1905.05361

Degenerations of nilpotent algebras

Amir Fernández Ouaridi·Ivan Kaygorodov·Mykola Khrypchenko·Yury Volkov
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Abstract

We give a complete description of degenerations of $3$-dimensional nilpotent algebras, $4$-dimensional nilpotent commutative algebras and $5$-dimensional nilpotent anticommutative algebras over $ \mathbb C$. In particular, we correct several mistakes from the paper `Contractions of low-dimensional nilpotent Jordan algebras' by Ancochea Berm\'{u}dez, Fres\'{a}n and Margalef Bentabol.

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Amir Fernández Ouaridi, Ivan Kaygorodov, Mykola Khrypchenko, Yury Volkov. 2019-05-14. Degenerations of nilpotent algebras. https://doi.org/10.1016/j.jpaa.2021.106850

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