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Sinopsis
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.
"Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
Ralf Schiffler is a Professor in the Department of Mathematics at the University of Connecticut.
De la contraportada
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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QUIVER REPRESENTATIONS (eng)
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Quiver Representations
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Springer International Publishing Sep 2014, 2014
ISBN 10: 3319092030
ISBN 13: 9783319092034
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Buch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: 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. Nº de ref. del artículo: 9783319092034
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Quiver Representations (CMS Books in Mathematics)
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Quiver Representations
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Springer International Publishing, 2014
ISBN 10: 3319092030
ISBN 13: 9783319092034
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Librería: moluna, Greven, Alemania
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Gebunden. Condición: 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. Nº de ref. del artículo: 4498402
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Quiver Representations (CMS Books in Mathematics)
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Quiver Representations
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Buch. Condición: 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. Nº de ref. del artículo: 9783319092034
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Quiver Representations (CMS Books in Mathematics)
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Quiver Representations
Publicado por
Springer, Palgrave Macmillan Sep 2014, 2014
ISBN 10: 3319092030
ISBN 13: 9783319092034
Nuevo
Buch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: 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. Nº de ref. del artículo: 9783319092034
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