Characterization of capable nilpotent n-Lie algebras of class two by their Schur multipliers

  • Zahra Hoseini
  • Farshid SaeediEmail author
  • Hamid Darabi


In this paper, we classify the generalized Heisenberg nilpotent n-Lie algebras of rank two with dimension at most \(2n+3\). Using them, we classify capable nilpotent n-Lie algebras with two-dimensional derived subalgebra. We also obtain the dimension of the Schur multiplier of nilpotent n-Lie algebras of class two with two-dimensional derived subalgebra.


Capable n-Lie algebra Schur multiplier Nilpotent n-Lie algebra 

Mathematics Subject Classification

Primary 17B05 17B30 Secondary 17D99 


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© Springer-Verlag Italia S.r.l., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Mashhad BranchIslamic Azad UniversityMashhadIran
  2. 2.Department of MathematicsEsfarayen University of TechnologyEsfarayenIran

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