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The algebraic and geometric classification of nilpotent Leibniz algebras

Kobiljon AbdurasulovCMA-UBI, University of Beira Interior, Covilhã, PortugalIvan KaygorodovCMA-UBI, University of Beira Interior, Covilhã, PortugalAbror KhudoyberdiyevInstitute of Mathematics Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
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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).

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