Degenerations of Leibniz and anticommutative algebras

preprint2018arXivOpen access

Abstract

We describe all degenerations of three dimensional anticommutative algebras Acom3\mathfrak{Acom}_3 and of three dimensional Leibniz algebras Leib3\mathfrak{Leib}_3 over C.\mathbb{C}. In particular, we describe all irreducible components and rigid algebras in the corresponding varieties

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