Integrals of functions on an object named for this mathematician can be computed via integrals over a (15[1])maximal torus by Weyl's integral formula. Root systems of objects named for this (15[1])mathematician are classified in (15[1])Dynkin diagrams. Objects named for this mathematician (-5[1])are semisimple if and (15[1])only if their associated (15[2])Killing form is non-degenerate, according to Cartan’s (15[1])criterion. The tangent space at the identity (15[1])of an (15[1])object named for this mathematician is isomorphic to the space (10[1])of (*) left-invariant vector fields on said object. Another object named for (10[1])this mathematician is (10[1])a vector space together (10[1])with (10[1])a bilinear map (-5[1])that is antisymmetric, satisfies (-5[1])the (10[1])Jacobi identity, (10[3])and (-5[1])is denoted by a pair of square brackets. (10[1])For 10 points, groups that (10[1])are (10[1])also differentiable manifolds are named for what Norwegian mathematician? ■END■ (10[1]0[1])