Kirillov, Alexander A., 1967-
Quiver representations and quiver varieties / Alexander Kirillov, Jr. - xii, 295 pages : illustrations ; 27 cm. - Graduate studies in mathematics : volume 174 .
Includes bibliographical references (pages 285-292) and index.
9781470423070 (hardback : alk. paper)
2016018803
Directed graphs.
Representations of graphs.
Graph theory.
Associative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets.
Algebraic geometry -- Cycles and subschemes -- Parametrization (Chow and Hilbert schemes).
Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory).
Associative rings and algebras -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.).
Associative rings and algebras -- Representation theory of rings and algebras -- Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers.
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights).
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Root systems.
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras.
QA166.15 / .K75 2016
512/.46
Quiver representations and quiver varieties / Alexander Kirillov, Jr. - xii, 295 pages : illustrations ; 27 cm. - Graduate studies in mathematics : volume 174 .
Includes bibliographical references (pages 285-292) and index.
9781470423070 (hardback : alk. paper)
2016018803
Directed graphs.
Representations of graphs.
Graph theory.
Associative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets.
Algebraic geometry -- Cycles and subschemes -- Parametrization (Chow and Hilbert schemes).
Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory).
Associative rings and algebras -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.).
Associative rings and algebras -- Representation theory of rings and algebras -- Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers.
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights).
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Root systems.
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras.
QA166.15 / .K75 2016
512/.46
