This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the way as needed.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Ralf Schiffler is a Professor in the Department of Mathematics at the University of Connecticut.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel's Theorem. The language of category theory is developed along the way as needed. 244 pp. Englisch. N° de réf. du vendeur 9783319363172
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First textbook on representation theory which uses the quiver representations approachMuch shorter than other texts on the subject and is meant as a textbook for a one semester courseExplicit constructions of Auslander-Reiten quivers are gi. N° de réf. du vendeur 151233189
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel¿s Theorem. The language of category theory is developed along the way as needed.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 244 pp. Englisch. N° de réf. du vendeur 9783319363172
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel's Theorem. The language of category theory is developed along the way as needed. N° de réf. du vendeur 9783319363172
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Taschenbuch. Etat : Neu. Quiver Representations | Ralf Schiffler | Taschenbuch | CMS Books in Mathematics | xi | Englisch | 2016 | Springer | EAN 9783319363172 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 103163878
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Paperback. Etat : Brand New. reprint edition. 244 pages. 9.25x6.10x0.55 inches. In Stock. N° de réf. du vendeur 3319363174
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