Katharina Bleutge; Stefan Erdmann; Michael Göger; Axel Plankemann; Nadine Schade Bundesanzeiger Verlag Gmb (2013) Saatavuus: Hankintapalvelu Pehmeäkantinen kirja
Alexander Branczyk; Hans-Willy Brockes; Thomas Düllo; Julius Erdmann; Karolin Hewelt; André Klemmstein Causales (2008) Saatavuus: Hankintapalvelu Kovakantinen kirja
Springer Sivumäärä: 298 sivua Asu: Pehmeäkantinen kirja Julkaisuvuosi: 2018, 26.09.2018 (lisätietoa) Kieli: Englanti
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.
