Degenerations of nilpotent algebras

By Amir Fernández Ouaridi, Ivan Kaygorodov, M. Khrypchenko, Y. Volkov. 2019

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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 Bermudez, Fresan and Margalef Bentabol.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f86aa336d9c3ad080b7ee2de60fdcf61ee6e90a0