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

Kobiljon AbdurasulovCMA-UBI, Universidade da Beira Interior, Covilhã, PortugalIvan KaygorodovCMA-UBI, Universidade da Beira Interior, Covilhã, PortugalAbror KhudoyberdiyevInstitute of Mathematics Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticasjournal2023en
ABI

Abstract

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.

Topics

Advanced Topics in AlgebraAlgebraic structures and combinatorial modelsFinite Group Theory Research

Identifiers

DOI
10.1007/s13398-023-01533-4

Citations and references

Cited by 045 references
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