Representations of N-lie Algebras

  title={Representations of N-lie Algebras},
  • Published 2002
over the field of complex numbers. Any finite-dimensional n-Lie V n-module is completely reducible. Any finite-dimensional irre-ducible n-Lie V n-module is isomorphic to a n-Lie extension of so n+1-module with highest weight tπ 1 for some nonnegative integer t.