Zum Hauptinhalt springen
Dekorationsartikel gehören nicht zum Leistungsumfang.
Quiver Representations
Buch von Ralf Schiffler
Sprache: Englisch

53,95 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Kategorien:
Beschreibung
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.
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.
Über den Autor
Ralf Schiffler is a Professor in the Department of Mathematics at the University of Connecticut.
Zusammenfassung

First textbook on representation theory which uses the quiver representations approach

Much shorter than other texts on the subject and is meant as a textbook for a one semester course

Explicit constructions of Auslander-Reiten quivers are given

Includes supplementary material: [...]

Inhaltsverzeichnis
Part I: Quivers and their representations.- Representations of quivers.- Projective and injective representations.- Examples of Auslander-Reiten quivers.- Part II: Path algebras.- Algebras and modules.- Bound quiver algebras.- New algebras from old.- Auslander-Reiten theory.- Quadratic forms and Gabriel's theorem.
Details
Erscheinungsjahr: 2014
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: CMS Books in Mathematics
Inhalt: xi
230 S.
357 s/w Illustr.
230 p. 357 illus.
ISBN-13: 9783319092034
ISBN-10: 3319092030
Sprache: Englisch
Herstellernummer: 86372862
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Schiffler, Ralf
Hersteller: Springer International Publishing
Springer International Publishing AG
CMS Books in Mathematics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 241 x 160 x 19 mm
Von/Mit: Ralf Schiffler
Erscheinungsdatum: 19.09.2014
Gewicht: 0,535 kg
Artikel-ID: 105216519
Über den Autor
Ralf Schiffler is a Professor in the Department of Mathematics at the University of Connecticut.
Zusammenfassung

First textbook on representation theory which uses the quiver representations approach

Much shorter than other texts on the subject and is meant as a textbook for a one semester course

Explicit constructions of Auslander-Reiten quivers are given

Includes supplementary material: [...]

Inhaltsverzeichnis
Part I: Quivers and their representations.- Representations of quivers.- Projective and injective representations.- Examples of Auslander-Reiten quivers.- Part II: Path algebras.- Algebras and modules.- Bound quiver algebras.- New algebras from old.- Auslander-Reiten theory.- Quadratic forms and Gabriel's theorem.
Details
Erscheinungsjahr: 2014
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: CMS Books in Mathematics
Inhalt: xi
230 S.
357 s/w Illustr.
230 p. 357 illus.
ISBN-13: 9783319092034
ISBN-10: 3319092030
Sprache: Englisch
Herstellernummer: 86372862
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Schiffler, Ralf
Hersteller: Springer International Publishing
Springer International Publishing AG
CMS Books in Mathematics
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 241 x 160 x 19 mm
Von/Mit: Ralf Schiffler
Erscheinungsdatum: 19.09.2014
Gewicht: 0,535 kg
Artikel-ID: 105216519
Sicherheitshinweis