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Engel subalgebras of \(n\)-Lie algebras

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Publication:928248
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DOI10.1007/s10114-007-1008-7zbMath1176.17002arXivmath/0610347OpenAlexW2135614220MaRDI QIDQ928248

Donald W. Barnes

Publication date: 11 June 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610347


zbMATH Keywords

nilpotentCartan subalgebrasEngel subalgebrasn-Lie algebras


Mathematics Subject Classification ID

Other (n)-ary compositions ((n ge 3)) (17A42)


Related Items (3)

The Frattini \(p\)-subsystem of a solvable restricted Lie triple system ⋮ New examples of infinite-dimensional n-Lie algebras ⋮ Some necessary and sufficient conditions for nilpotent n-Lie superalgebras



Cites Work

  • Sortability of representations of Lie algebras
  • Theory of \(n\)-Lie algebras
  • Zur Theorie der endlichen auflösbaren Gruppen
  • Finite soluble groups
  • On the theory of soluble Lie algebras
  • On the cohomology of soluble Lie algebras
  • Some theorems on saturated homomorphs of soluble Lie algebras
  • The Frattini subalgebra of \(n\)-Lie algebras


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