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

Kobiljon Abdurasulov; Ivan Kaygorodov; Abror Khudoyberdiyev

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

Rings and Algebras 2025-01-10 v2

Authors: Kobiljon Abdurasulov , Ivan Kaygorodov , Abror Khudoyberdiyev

Abstract

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 $3$ .

Keywords

nilpotent leibniz algebras binary leibniz algebras mono leibniz algebras algebraic classification geometric classification nil-index

Cite

@article{arxiv.2308.00374,
  title  = {The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras},
  author = {Kobiljon Abdurasulov and Ivan Kaygorodov and Abror Khudoyberdiyev},
  journal= {arXiv preprint arXiv:2308.00374},
  year   = {2025}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2205.00444, arXiv:2206.00315, arXiv:2106.00336, arXiv:1912.02691, arXiv:1812.01442, arXiv:2307.00289

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