Linear algebraic groups

About “Linear algebraic groups”

This book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It covers solvable groups, general properties of linear algebraic groups, Chevalley's structure theory of reductive groups over algebraically closed groundfields, and rationality questions over non-algebraically closed fields, with expansions on central isogenies and the structure of the group of rational points of an isotropic reductive group.