The variety of dual mock-Lie algebras
L.M. Camacho, Ivan Kaygorodov, Viktor Lopatkin, Mohamed Salim
Abstract
We classify all complex7- and8-dimensional dual mock-Lie al-gebras by the algebraic and geometric way. Also, we find all non-trivialcomplex9-dimensional dual mock-Lie algebras
Topics & Concepts
Dual (grammatical number)MathematicsVariety (cybernetics)Lie algebraAlgebra over a fieldPure mathematicsRepresentation of a Lie groupAdjoint representation of a Lie algebraAlgebraic varietyAlgebraic numberLie groupLie conformal algebraMathematical analysisLiteratureArtStatisticsAdvanced Topics in AlgebraAlgebraic structures and combinatorial modelsHomotopy and Cohomology in Algebraic Topology