The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras

Published 1 Aug 2023 in math.RA | (2308.00374v2)

Abstract: This paper is devoted to the complete algebraic and geometric classification of complex $5$-dimensional nilpotent binary Leibniz and $4$-dimensional nilpotent mono Leibniz algebras. As a corollary, we have the complete algebraic and geometric classification of complex $4$-dimensional nilpotent algebras of nil-index $3$.

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