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Quiver Representations and Quiver Varieties
About this Title
Alexander Kirillov Jr., Stony Brook University, Stony Brook, NY
Publication: Graduate Studies in Mathematics
Publication Year:
2016; Volume 174
ISBNs: 978-1-4704-2307-0 (print); 978-1-4704-3502-8 (online)
DOI: https://doi.org/10.1090/gsm/174
MathSciNet review: MR3526103
MSC: Primary 16G20; Secondary 14C05, 14D21, 16G60, 16G70, 17B67
Table of Contents
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Front/Back Matter
Part 1. Dynkin quivers
- Chapter 1. Basic theory
- Chapter 2. Geometry of orbits
- Chapter 3. Gabriel’s theorem
- Chapter 4. Hall algebras
- Chapter 5. Double quivers
Part 2. Quivers of infinite type
- Chapter 6. Coxeter functor and preprojective representations
- Chapter 7. Tame and wild quivers
- Chapter 8. McKay correspondence and representations of Euclidean quivers
Part 3. Quiver varieties
- 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