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 are classified in (15[1])Dynkin diagrams. Objects named for this mathematician (-5[1])are semisimple if and only if their associated (15[1])Killing form is non-degenerate, 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 (-5[1])the Jacobi identity, and is denoted by a pair of square brackets. (10[1])For 10 points, groups that are also differentiable manifolds are named for what Norwegian mathematician? ■END■ (10[1]0[1])