An introduction to continuous symmetry via Lie theory, developing tools from geometry and algebra to study linearized symmetry. Clear lectures, examples, and exercises guide readers from foundations to advanced structure and representation results.

Key Topics

• Manifolds
• Classical Lie groups
• The exponential map
• Poincaré–Birkhoff–Witt theorem (PBW)
• Dynkin diagrams 

Author: Pavel Etingof