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The algebraic and geometric classification of nilpotent Leibniz algebras (2307.00289v1)
Published 1 Jul 2023 in math.RA
Abstract: This paper is devoted to the complete algebraic and geometric classification of complex $5$-dimensional nilpotent Leibniz algebras. In particular, the variety of complex $5$-dimensional nilpotent Leibniz algebras has dimension $24$ it has $10$ irreducible components (there is only one rigid algebra in this variety).