Frattini theory for \(N\)-Lie algebras

Michael Peretzian Williams

Abstract


We develop a Frattini Theory for \(n\)-Lie algebras by extending theorems of Barnes' to the \(n\)-Lie algebra setting. Specifically, we show some sufficient conditions for the Frattini subalgebra to be an ideal and find an example where the Frattini subalgebra fails to be an ideal.


Keywords


Lie algebras, non-associative algebras

Full Text:

PDF

Refbacks

  • There are currently no refbacks.