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

Kobiljon AbdurasulovCMA-UBI , Universidade da Beira Interior , Covilhã , Portugal ; Institute of Mathematics Academy of Sciences of Uzbekistan , Tashkent , Uzbekistan;Ivan KaygorodovCMA-UBI , Universidade da Beira Interior , Covilhã , Portugal ; Moscow Center for Fundamental and Applied Math- ematics , Moscow , Russia ;Abror KhudoyberdiyevInstitute of Mathematics Academy of Sciences of Uzbekistan , Tashkent , Uzbekistan ; National University of Uzbek- istan , Tashkent , Uzbekistan,

2023en

ABI

Annotatsiya

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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Identifikatorlar

DOI: 10.48550/arxiv.2308.00374

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