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

Fuente: arXiv
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Autori principali: Abdurasulov, Kobiljon, Kaygorodov, Ivan, Khudoyberdiyev, Abror
Natura: Preprint
Pubblicazione: 2023
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author Abdurasulov, Kobiljon
Kaygorodov, Ivan
Khudoyberdiyev, Abror
author_facet Abdurasulov, Kobiljon
Kaygorodov, Ivan
Khudoyberdiyev, Abror
contents 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 $3$.
format Preprint
id arxiv_https___arxiv_org_abs_2308_00374
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras
Abdurasulov, Kobiljon
Kaygorodov, Ivan
Khudoyberdiyev, Abror
Rings and Algebras
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 $3$.
title The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras
topic Rings and Algebras
url https://arxiv.org/abs/2308.00374