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