Integrals of functions on an object named for this mathematician can be computed via integrals over a maximal torus by Weyl's integral formula. Root systems of objects named for this mathematician (15[1])are classified in Dynkin diagrams. Objects named for this mathematician are semisimple if and only if their associated Killing form is non-degenerate, (15[1])according to Cartan’s criterion. The tangent space at the identity of an object named for this mathematician is isomorphic to the space of (*) left-invariant vector fields on said object. Another object named for this mathematician is a vector space together with a bilinear map (-5[1])that is antisymmetric, satisfies the Jacobi identity, and is denoted by a pair of square brackets. For 10 points, groups that are also differentiable manifolds are named for what Norwegian mathematician? ■END■ (10[1])