Assertion: lie | /r/HasProperty | \displaystyle \mathfrak g
Facets:
Source sentences:
text: A Lie algebra g {\displaystyle {\mathfrak {g}}} is semisimple if and only if the Killing form is nondegenerate.
text: Given a semisimple finite-dimensional complex Lie algebra g {\displaystyle {\mathfrak {g}}} , a split form of it is a real form that splits; i.e., it has a Cartan subalgebra which acts via an adjoint representation with real eigenvalues.