Characters of Lie algebras #
A character of a Lie algebra
L over a commutative ring
R is a morphism of Lie algebras
L → R,
R is regarded as a Lie algebra over itself via the ring commutator. For an Abelian Lie
algebra (e.g., a Cartan subalgebra of a semisimple Lie algebra) a character is just a linear form.
Main definitions #
lie algebra, lie character
For an Abelian Lie algebra, characters are just linear forms.