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Degenerations of Leibniz and anticommutative algebras

Published 1 Aug 2018 in math.RA | (1808.00907v1)

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

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