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<p>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).</p>

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The algebraic and geometric classification of nilpotent Leibniz algebras

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月8日

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  • Kobiljon Abdurasulov,
  • Ivan Kaygorodov,
  • Abror Khudoyberdiyev

摘要

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).