Invariant Adjoint Tensors of the Classical Groups

الأصل · EN

For g a simple Lie algebra and G its adjoint group, the Chevalley map and work of Coxeter gives a concrete description of the algebra of G-invariant polynomials on g in terms of traces over various representations. Here we provide an extension of this description to G-invariant tensors on g, although restricted to only providing generators and only for the classical Lie algebras.