Integrals of functions on an object named for this mathematician can be computed via integrals over a maximal torus by Weyl's integral formula. (15[1])Root systems of objects named for this mathematician (15[1])are classified (-5[1])in (15[1])Dynkin diagrams. (15[2])Objects named for this (15[1])mathematician (-5[1])are semisimple if (15[1])and only if their associated (15[1])Killing form (15[1])is non-degenerate, (15[2])according to Cartan’s criterion. The tangent space (-5[1])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[2])that is antisymmetric, satisfies (-5[1])the Jacobi identity, and is denoted by a pair of square brackets. (10[2]-5[1])For 10 points, groups that are also differentiable manifolds are named for what (10[1])Norwegian (-5[2])mathematician? (10[1]-5[1])■END■ (10[4]0[3])