part Lie theory -- chapter 1 Topological Lie Algebras -- chapter 2 Lie Groups and Their Lie Algebras -- chapter 3 Enlargibility -- chapter 4 Smooth Homogeneous Spaces -- chapter 5 Quasimultiplicative Maps -- chapter 6 Complex Structures on Homogeneous Spaces -- part Equivariant monotone operators and Kähler structures -- chapter 7 Equivariant Monotone Operators -- chapter 8 L*-ideals and Equivariant Monotone Operators -- chapter 9 Homogeneous Spaces of Pseudo-restricted Groups -- chapter A Differential Calculus and Smooth Manifolds -- chapter B Basic Differential Equations of Lie Theory -- chapter C Topological Groups.