Table of Contents

Overview Full reducibility and invariants for $mathbf{SL}_2(mathbb C)$ Hermann Weyl and Lie groups Elie Cartan, symmetric spaces and Lie groups Linear algebraic groups in the 19th century Linear algebraic groups in the 20th century The work of Chevalley in Lie groups and algebraic groups Algebraic groups and Galois theory in the work of Ellis R. Kolchin Name index Subject index Photo section.