The algebraic and geometric classification of nilpotent Leibniz algebras

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).

arXiv commentarXiv admin note: substantial text overlap with arXiv:2205.00444, arXiv:2206.00315, arXiv:2106.00336, arXiv:1912.02691, arXiv:1812.01442, arXiv:2111.00785, arXiv:2109.00483, arXiv:2004.03598