Table of Contents:
  • Chapter 1. Basic theory Chapter 2. Geometry of orbits Chapter 3. Gabriel's theorem Chapter 4. Hall algebras Chapter 5. Double quivers Chapter 6. Coxeter functor and preprojective representations Chapter 7. Tame and wild quivers Chapter 8. McKay correspondence and representations of Euclidean quivers Chapter 9. Hamiltonian reduction and geometric invariant theory Chapter 10. Quiver varieties Chapter 11. Jordan quiver and Hilbert schemes Chapter 12. Kleinian singularities and geometric McKay correspondence Chapter 13. Geometric realization of Kac-Moody Lie algebras Appendix A. Kac-Moody algebras and Weyl groups