| 期刊全称 | Algebras and Representation Theory | | 影响因子2023 | Karin Erdmann,Thorsten Holm | | 视频video | | | 发行地址 | 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 exa | | 学科分类 | Springer Undergraduate Mathematics Series | | 图书封面 |  | | 影响因子 | .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.. | | Pindex | Textbook 2018 |
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发表于 2025-3-21 17:20:25
