Tools

LEADER 03515cam 2200577 i 4500

001 ocn948669419;

003 OCoLC;

005 20161027130449.0;

008 160502s2016 riua b 001 0 eng ;

010 a| 2016018803;

020 a| 9781470423070 (alk. paper);

020 a| 1470423073 (alk. paper);

035 a| (Sirsi) 40026341879;

035 a| 40026341879;

035 a| (OCoLC)948669419;

042 a| pcc;

050 00 a| QA166.15b| .K75 2016;

082 00 a| 512/.462| 23;

084 a| 16G20a| 14C05a| 14D21a| 16G60a| 16G70a| 17B10a| 17B22a| 17B672| msc;

100 1 a| Kirillov, Alexander A.,d| 1967-e| author.=| ^A401347;

245 10 a| Quiver representations and quiver varieties /c| Alexander Kirillov, Jr.;

264 1 a| Providence, Rhode Island :b| American Mathematical Society,c| [2016];

300 a| xii, 295 pages :b| illustrations ;c| 27 cm.;

336 a| text2| rdacontent;

337 a| unmediated2| rdamedia;

338 a| volume2| rdacarrier;

490 1 a| Graduate studies in mathematics ;v| 174;

504 a| Includes bibliographical references (pages 285-292) and index.;

505 0 a| Basic theory -- Geometry of orbits -- Gabriel's theorem -- Hall algebras -- Double quivers -- Coxeter functor and preprojective representations -- Tame and wild quivers -- McKay correspondence and representations -- Hamiltonian reduction and geometric invariant theory -- Quiver varieties -- Jordan quiver and Hilbert schemes -- Kleinian singularities and geometric McKay correspondence -- Kac-Moody algebras and Weyl groups.;

650 0 a| Directed graphs.=| ^A173913;

650 0 a| Representations of graphs.=| ^A84581;

650 0 a| Graph theory.=| ^A31040;

650 7 a| Associative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets.2| msc;

650 7 a| Algebraic geometry -- Cycles and subschemes -- Parametrization (Chow and Hilbert schemes)2| msc;

650 7 a| Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)2| msc;

650 7 a| Associative rings and algebras -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.)2| msc;

650 7 a| Associative rings and algebras -- Representation theory of rings and algebras -- Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers.2| msc;

650 7 a| Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights)2| msc;

650 7 a| Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Root systems.2| msc;

650 7 a| Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras.2| msc;

650 7 a| Directed graphs.2| fast0| (OCoLC)fst00894571;

650 7 a| Graph theory.2| fast0| (OCoLC)fst00946584;

650 7 a| Representations of graphs.2| fast0| (OCoLC)fst01094937;

830 0 a| Graduate studies in mathematicsv| v. 174.=| ^A347883;

830 0 a| Graduate studies in mathematicsv| 174.=| ^A347883;

949 i| 30372016623990o| jjlm;

960 o| 1s| 89.00t| Joyner48u| JAPPz| USD;

596 a| 1;

998 a| 4537343;

999 a| QA166.15 .K75 2016w| LCc| 1i| 30372016623990d| 10/2/2018e| 9/23/2016l| JGESm| JOYNERq| 2r| Ys| Yt| JGESBKu| 9/20/2016x| BOOKz| JSTACKSo| .STAFF. jjlm;

Quiver representations and quiver varieties / Alexander Kirillov, Jr.

Author/creator	Kirillov, Alexander A., 1967- author.
Format	Book
Publication	Providence, Rhode Island : American Mathematical Society, [2016]
Description	xii, 295 pages : illustrations ; 27 cm.
Subjects	Directed graphs. Representations of graphs. Graph theory.

Series	Graduate studies in mathematics ; 174 Graduate studies in mathematics v. 174. ^A347883 Graduate studies in mathematics 174. ^A347883
Contents	Basic theory -- Geometry of orbits -- Gabriel's theorem -- Hall algebras -- Double quivers -- Coxeter functor and preprojective representations -- Tame and wild quivers -- McKay correspondence and representations -- Hamiltonian reduction and geometric invariant theory -- Quiver varieties -- Jordan quiver and Hilbert schemes -- Kleinian singularities and geometric McKay correspondence -- Kac-Moody algebras and Weyl groups.
Bibliography note	Includes bibliographical references (pages 285-292) and index.
LCCN	2016018803
ISBN	9781470423070 (alk. paper)
ISBN	1470423073 (alk. paper)

Quiver representations and quiver varieties / Alexander Kirillov, Jr.

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