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＜電子ブック＞
Quiver representations and quiver varieties / Alexander Kirillov, Jr
(Graduate Studies in Mathematics ; v. 174)

出版者	(Providence, Rhode Island : American Mathematical Society)
出版年	[2016]
大きさ	1 online resource (xii, 295 pages : illustrations)
著者標目	*Kirillov, Alexander A. 1967- author
件　名	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  全ての件名で検索 FREE:Algebraic geometry -- Cycles and subschemes -- Parametrization (Chow and Hilbert schemes)  全ての件名で検索 FREE:Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)  全ての件名で検索 FREE:Associative rings and algebras -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.)  全ての件名で検索 FREE:Associative rings and algebras -- Representation theory of rings and algebras -- Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers  全ての件名で検索 FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights)  全ての件名で検索 FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Root systems  全ての件名で検索 FREE:Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras  全ての件名で検索
内容注記	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
一般注記	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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