The variety of dual mock-Lie algebras

Luisa M. Camacho; Ivan Kaygorodov; Viktor Lopatkin; Mohamed A. Salim

doi:10.2478/cm-2020-0019

The variety of dual mock-Lie algebras

Luisa M. Camacho, Ivan Kaygorodov, Viktor Lopatkin, Mohamed A. Salim

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

We classify all complex 7-and 8-dimensional dual mock-Lie algebras by the algebraic and geometric way. Also, we find all non-Trivial complex 9-dimensional dual mock-Lie algebras.

Original language	English
Pages (from-to)	161-178
Number of pages	18
Journal	Communications in Mathematics
Volume	28
Issue number	2
DOIs	https://doi.org/10.2478/cm-2020-0019
Publication status	Published - Sept 1 2020

Keywords

Nilpotent algebra
algebraic classification
anticommutative algebra
central extension
degeneration
dual mock-Lie algebra
geometric classification
mock-Lie algebra

ASJC Scopus subject areas

General Mathematics

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10.2478/cm-2020-0019

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title = "The variety of dual mock-Lie algebras",

abstract = "We classify all complex 7-and 8-dimensional dual mock-Lie algebras by the algebraic and geometric way. Also, we find all non-Trivial complex 9-dimensional dual mock-Lie algebras.",

keywords = "Nilpotent algebra, algebraic classification, anticommutative algebra, central extension, degeneration, dual mock-Lie algebra, geometric classification, mock-Lie algebra",

author = "Camacho, {Luisa M.} and Ivan Kaygorodov and Viktor Lopatkin and Salim, {Mohamed A.}",

note = "Publisher Copyright: {\textcopyright} 2020 Luisa M. Camacho et al., published by Sciendo.",

year = "2020",

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doi = "10.2478/cm-2020-0019",

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AU - Camacho, Luisa M.

AU - Kaygorodov, Ivan

AU - Lopatkin, Viktor

AU - Salim, Mohamed A.

PY - 2020/9/1

Y1 - 2020/9/1

N2 - We classify all complex 7-and 8-dimensional dual mock-Lie algebras by the algebraic and geometric way. Also, we find all non-Trivial complex 9-dimensional dual mock-Lie algebras.

AB - We classify all complex 7-and 8-dimensional dual mock-Lie algebras by the algebraic and geometric way. Also, we find all non-Trivial complex 9-dimensional dual mock-Lie algebras.

KW - Nilpotent algebra

KW - algebraic classification

KW - anticommutative algebra

KW - central extension

KW - degeneration

KW - dual mock-Lie algebra

KW - geometric classification

KW - mock-Lie algebra

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EP - 178

JO - Communications in Mathematics

JF - Communications in Mathematics

IS - 2

ER -

The variety of dual mock-Lie algebras

Abstract

Keywords

ASJC Scopus subject areas

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