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＜E-Book＞
Quiver representations and quiver varieties / Alexander Kirillov, Jr
(Graduate Studies in Mathematics ; v. 174)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2016]
Size	1 online resource (xii, 295 pages : illustrations)
Authors	*Kirillov, Alexander A. 1967- author
Subjects	LCSH:Directed graphs LCSH:Representations of graphs LCSH:Graph theory FREE:Associative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets  All Subject Search FREE:Algebraic geometry -- Cycles and subschemes -- Parametrization (Chow and Hilbert schemes)  All Subject Search FREE:Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)  All Subject Search FREE:Associative rings and algebras -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.)  All Subject Search FREE:Associative rings and algebras -- Representation theory of rings and algebras -- Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights)  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Root systems  All Subject Search FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras  All Subject Search
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
Notes	Includes bibliographical references (pages 285-292) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2016 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/174 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/174 Information=Contents

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