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Springer Undergraduate Mathematics Series

Algebras and Representation Theory

Autoren: Erdmann, Karin, Holm, Thorsten

Vorschau
  • Offers an elementary introduction that includes more advanced topics such as Gabriel’s theorem on quivers
  • Based on the authors’ extensive undergraduate teaching experience
  • Provides numerous worked examples and more than 200 exercises (with worked solutions to some of them)
Weitere Vorteile

Dieses Buch kaufen

eBook 29,74 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-91998-0
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 37,44 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-91997-3
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Lehrbuch

This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers.

The book starts with basic topics on algebras and modules, covering fundamental results such as the Jordan-Hölder theorem on composition series, the Artin-Wedderburn theorem on the structure of semisimple algebras and the Krull-Schmidt theorem on indecomposable modules. The authors then go on to study representations of quivers in detail, leading to a complete proof of Gabriel's celebrated theorem characterizing the representation type of quivers in terms of Dynkin diagrams.

Requiring only introductory courses on linear algebra and groups, rings and fields, this textbook is aimed at undergraduate students. With numerous examples illustrating abstract concepts, and including more than 200 exercises (with solutions to about a third of them), the book provides an example-driven introduction suitable for self-study and use alongside lecture courses.

Über den Autor

Karin Erdmann's research focus lies on representation theory of finite groups, and finite-dimensional algebras. She has written many research articles, and is the author of a research monograph and a textbook.

Thorsten Holm is Professor of Mathematics at Leibniz Universität Hannover. His research interests include representation theory of finite groups and finite-dimensional algebras, and algebraic combinatorics.

Video

Inhaltsverzeichnis (12 Kapitel)

Inhaltsverzeichnis (12 Kapitel)

Dieses Buch kaufen

eBook 29,74 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-91998-0
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 37,44 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-91997-3
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Algebras and Representation Theory
Autoren
Titel der Buchreihe
Springer Undergraduate Mathematics Series
Copyright
2018
Verlag
Springer International Publishing
Copyright Inhaber
Springer Nature Switzerland AG
eBook ISBN
978-3-319-91998-0
DOI
10.1007/978-3-319-91998-0
Softcover ISBN
978-3-319-91997-3
Buchreihen ISSN
1615-2085
Auflage
1
Seitenzahl
IX, 298
Anzahl der Bilder
59 schwarz-weiß Abbildungen
Themen