Preprint

The algebraic and geometric classification of nilpotent Leibniz algebras

Kobiljon AbdurasulovCMA-UBI , Universidade da Beira Interior , Covilhã , Portugal ; Institute of Mathematics Academy of Sciences of Uzbekistan , Tashkent , Uzbekistan;Ivan KaygorodovSaint Petersburg Mining UniversityAbror KhudoyberdiyevNational University of Uzbekistan

2023en

ABI

Annotatsiya

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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Identifikatorlar

DOI: 10.48550/arxiv.2307.00289

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